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Finding the Third Proportional to 151,656 and 229,572

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Solution

The third proportional to 151,656 and 229,572 is: 347,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,656 : 229,572 = 229,572 : x
  2. Step 2: Convert to fraction form
    151,656/229,572 = 229,572/x
  3. Step 3: Cross multiply
    151,656x = 229,572 × 229,572
  4. Step 4: Simplify right side
    151,656x = 52,703,303,184
  5. Step 5: Solve for x
    x = 52,703,303,184/151,656
  6. Step 6: Final answer
    x = 347,518.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.