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Finding the Third Proportional to 153,522 and 207,603

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Solution

The third proportional to 153,522 and 207,603 is: 280,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,522 : 207,603 = 207,603 : x
  2. Step 2: Convert to fraction form
    153,522/207,603 = 207,603/x
  3. Step 3: Cross multiply
    153,522x = 207,603 × 207,603
  4. Step 4: Simplify right side
    153,522x = 43,099,005,609
  5. Step 5: Solve for x
    x = 43,099,005,609/153,522
  6. Step 6: Final answer
    x = 280,735.05

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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.