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Finding the Third Proportional to 142,970 and 210,291

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Solution

The third proportional to 142,970 and 210,291 is: 309,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,970 : 210,291 = 210,291 : x
  2. Step 2: Convert to fraction form
    142,970/210,291 = 210,291/x
  3. Step 3: Cross multiply
    142,970x = 210,291 × 210,291
  4. Step 4: Simplify right side
    142,970x = 44,222,304,681
  5. Step 5: Solve for x
    x = 44,222,304,681/142,970
  6. Step 6: Final answer
    x = 309,311.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.