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Finding the Third Proportional to 142,496 and 304,060

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Solution

The third proportional to 142,496 and 304,060 is: 648,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,496 : 304,060 = 304,060 : x
  2. Step 2: Convert to fraction form
    142,496/304,060 = 304,060/x
  3. Step 3: Cross multiply
    142,496x = 304,060 × 304,060
  4. Step 4: Simplify right side
    142,496x = 92,452,483,600
  5. Step 5: Solve for x
    x = 92,452,483,600/142,496
  6. Step 6: Final answer
    x = 648,807.57

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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.