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Finding the Third Proportional to 207,624 and 310,352

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Solution

The third proportional to 207,624 and 310,352 is: 463,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,624 : 310,352 = 310,352 : x
  2. Step 2: Convert to fraction form
    207,624/310,352 = 310,352/x
  3. Step 3: Cross multiply
    207,624x = 310,352 × 310,352
  4. Step 4: Simplify right side
    207,624x = 96,318,363,904
  5. Step 5: Solve for x
    x = 96,318,363,904/207,624
  6. Step 6: Final answer
    x = 463,907.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.