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Finding the Third Proportional to 142,478 and 304,028

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Solution

The third proportional to 142,478 and 304,028 is: 648,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,478 : 304,028 = 304,028 : x
  2. Step 2: Convert to fraction form
    142,478/304,028 = 304,028/x
  3. Step 3: Cross multiply
    142,478x = 304,028 × 304,028
  4. Step 4: Simplify right side
    142,478x = 92,433,024,784
  5. Step 5: Solve for x
    x = 92,433,024,784/142,478
  6. Step 6: Final answer
    x = 648,752.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.