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Finding the Third Proportional to 155,090 and 232,629

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Solution

The third proportional to 155,090 and 232,629 is: 348,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,090 : 232,629 = 232,629 : x
  2. Step 2: Convert to fraction form
    155,090/232,629 = 232,629/x
  3. Step 3: Cross multiply
    155,090x = 232,629 × 232,629
  4. Step 4: Simplify right side
    155,090x = 54,116,251,641
  5. Step 5: Solve for x
    x = 54,116,251,641/155,090
  6. Step 6: Final answer
    x = 348,934.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.