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Finding the Third Proportional to 153,605 and 232,554

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Solution

The third proportional to 153,605 and 232,554 is: 352,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,605 : 232,554 = 232,554 : x
  2. Step 2: Convert to fraction form
    153,605/232,554 = 232,554/x
  3. Step 3: Cross multiply
    153,605x = 232,554 × 232,554
  4. Step 4: Simplify right side
    153,605x = 54,081,362,916
  5. Step 5: Solve for x
    x = 54,081,362,916/153,605
  6. Step 6: Final answer
    x = 352,080.75

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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.