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Finding the Third Proportional to 142,220 and 304,681

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Solution

The third proportional to 142,220 and 304,681 is: 652,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,220 : 304,681 = 304,681 : x
  2. Step 2: Convert to fraction form
    142,220/304,681 = 304,681/x
  3. Step 3: Cross multiply
    142,220x = 304,681 × 304,681
  4. Step 4: Simplify right side
    142,220x = 92,830,511,761
  5. Step 5: Solve for x
    x = 92,830,511,761/142,220
  6. Step 6: Final answer
    x = 652,724.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.