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Finding the Third Proportional to 153,583 and 232,522

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Solution

The third proportional to 153,583 and 232,522 is: 352,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,583 : 232,522 = 232,522 : x
  2. Step 2: Convert to fraction form
    153,583/232,522 = 232,522/x
  3. Step 3: Cross multiply
    153,583x = 232,522 × 232,522
  4. Step 4: Simplify right side
    153,583x = 54,066,480,484
  5. Step 5: Solve for x
    x = 54,066,480,484/153,583
  6. Step 6: Final answer
    x = 352,034.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.