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Finding the Third Proportional to 295,203.75 and 469,956.75

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Solution

The third proportional to 295,203.75 and 469,956.75 is: 748,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,203.75 : 469,956.75 = 469,956.75 : x
  2. Step 2: Convert to fraction form
    295,203.75/469,956.75 = 469,956.75/x
  3. Step 3: Cross multiply
    295,203.75x = 469,956.75 × 469,956.75
  4. Step 4: Simplify right side
    295,203.75x = 220,859,346,870.56
  5. Step 5: Solve for x
    x = 220,859,346,870.56/295,203.75
  6. Step 6: Final answer
    x = 748,159.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.