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Finding the Third Proportional to 153,522 and 361,889

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Solution

The third proportional to 153,522 and 361,889 is: 853,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,522 : 361,889 = 361,889 : x
  2. Step 2: Convert to fraction form
    153,522/361,889 = 361,889/x
  3. Step 3: Cross multiply
    153,522x = 361,889 × 361,889
  4. Step 4: Simplify right side
    153,522x = 130,963,648,321
  5. Step 5: Solve for x
    x = 130,963,648,321/153,522
  6. Step 6: Final answer
    x = 853,061.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.