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Finding the Third Proportional to 151,582 and 252,621

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Solution

The third proportional to 151,582 and 252,621 is: 421,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,582 : 252,621 = 252,621 : x
  2. Step 2: Convert to fraction form
    151,582/252,621 = 252,621/x
  3. Step 3: Cross multiply
    151,582x = 252,621 × 252,621
  4. Step 4: Simplify right side
    151,582x = 63,817,369,641
  5. Step 5: Solve for x
    x = 63,817,369,641/151,582
  6. Step 6: Final answer
    x = 421,008.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.