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Finding the Third Proportional to 97,352 and 207,280

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Solution

The third proportional to 97,352 and 207,280 is: 441,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,352 : 207,280 = 207,280 : x
  2. Step 2: Convert to fraction form
    97,352/207,280 = 207,280/x
  3. Step 3: Cross multiply
    97,352x = 207,280 × 207,280
  4. Step 4: Simplify right side
    97,352x = 42,964,998,400
  5. Step 5: Solve for x
    x = 42,964,998,400/97,352
  6. Step 6: Final answer
    x = 441,336.58

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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.