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Finding the Third Proportional to 153,776 and 206,913

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Solution

The third proportional to 153,776 and 206,913 is: 278,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,776 : 206,913 = 206,913 : x
  2. Step 2: Convert to fraction form
    153,776/206,913 = 206,913/x
  3. Step 3: Cross multiply
    153,776x = 206,913 × 206,913
  4. Step 4: Simplify right side
    153,776x = 42,812,989,569
  5. Step 5: Solve for x
    x = 42,812,989,569/153,776
  6. Step 6: Final answer
    x = 278,411.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.