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Finding the Third Proportional to 142,905 and 304,791

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Solution

The third proportional to 142,905 and 304,791 is: 650,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,905 : 304,791 = 304,791 : x
  2. Step 2: Convert to fraction form
    142,905/304,791 = 304,791/x
  3. Step 3: Cross multiply
    142,905x = 304,791 × 304,791
  4. Step 4: Simplify right side
    142,905x = 92,897,553,681
  5. Step 5: Solve for x
    x = 92,897,553,681/142,905
  6. Step 6: Final answer
    x = 650,065.10

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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.