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Finding the Third Proportional to 207,906 and 234,560

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Solution

The third proportional to 207,906 and 234,560 is: 264,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 234,560 = 234,560 : x
  2. Step 2: Convert to fraction form
    207,906/234,560 = 234,560/x
  3. Step 3: Cross multiply
    207,906x = 234,560 × 234,560
  4. Step 4: Simplify right side
    207,906x = 55,018,393,600
  5. Step 5: Solve for x
    x = 55,018,393,600/207,906
  6. Step 6: Final answer
    x = 264,631.10

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.