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Finding the Third Proportional to 153,079 and 332,428

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Solution

The third proportional to 153,079 and 332,428 is: 721,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,079 : 332,428 = 332,428 : x
  2. Step 2: Convert to fraction form
    153,079/332,428 = 332,428/x
  3. Step 3: Cross multiply
    153,079x = 332,428 × 332,428
  4. Step 4: Simplify right side
    153,079x = 110,508,375,184
  5. Step 5: Solve for x
    x = 110,508,375,184/153,079
  6. Step 6: Final answer
    x = 721,904.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.