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Finding the Third Proportional to 153,751.50 and 330,471

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Solution

The third proportional to 153,751.50 and 330,471 is: 710,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,751.50 : 330,471 = 330,471 : x
  2. Step 2: Convert to fraction form
    153,751.50/330,471 = 330,471/x
  3. Step 3: Cross multiply
    153,751.50x = 330,471 × 330,471
  4. Step 4: Simplify right side
    153,751.50x = 109,211,081,841
  5. Step 5: Solve for x
    x = 109,211,081,841/153,751.50
  6. Step 6: Final answer
    x = 710,309.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.