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Finding the Third Proportional to 152,636 and 233,487

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Solution

The third proportional to 152,636 and 233,487 is: 357,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,636 : 233,487 = 233,487 : x
  2. Step 2: Convert to fraction form
    152,636/233,487 = 233,487/x
  3. Step 3: Cross multiply
    152,636x = 233,487 × 233,487
  4. Step 4: Simplify right side
    152,636x = 54,516,179,169
  5. Step 5: Solve for x
    x = 54,516,179,169/152,636
  6. Step 6: Final answer
    x = 357,164.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.