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Finding the Third Proportional to 153,408 and 207,264

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Solution

The third proportional to 153,408 and 207,264 is: 280,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408 : 207,264 = 207,264 : x
  2. Step 2: Convert to fraction form
    153,408/207,264 = 207,264/x
  3. Step 3: Cross multiply
    153,408x = 207,264 × 207,264
  4. Step 4: Simplify right side
    153,408x = 42,958,365,696
  5. Step 5: Solve for x
    x = 42,958,365,696/153,408
  6. Step 6: Final answer
    x = 280,026.89

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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.