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Finding the Third Proportional to 142,528 and 225,676

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Solution

The third proportional to 142,528 and 225,676 is: 357,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,528 : 225,676 = 225,676 : x
  2. Step 2: Convert to fraction form
    142,528/225,676 = 225,676/x
  3. Step 3: Cross multiply
    142,528x = 225,676 × 225,676
  4. Step 4: Simplify right side
    142,528x = 50,929,656,976
  5. Step 5: Solve for x
    x = 50,929,656,976/142,528
  6. Step 6: Final answer
    x = 357,330.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.