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Finding the Third Proportional to 155,026 and 232,540

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Solution

The third proportional to 155,026 and 232,540 is: 348,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,026 : 232,540 = 232,540 : x
  2. Step 2: Convert to fraction form
    155,026/232,540 = 232,540/x
  3. Step 3: Cross multiply
    155,026x = 232,540 × 232,540
  4. Step 4: Simplify right side
    155,026x = 54,074,851,600
  5. Step 5: Solve for x
    x = 54,074,851,600/155,026
  6. Step 6: Final answer
    x = 348,811.50

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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.