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Finding the Third Proportional to 155,412 and 232,160

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Solution

The third proportional to 155,412 and 232,160 is: 346,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,412 : 232,160 = 232,160 : x
  2. Step 2: Convert to fraction form
    155,412/232,160 = 232,160/x
  3. Step 3: Cross multiply
    155,412x = 232,160 × 232,160
  4. Step 4: Simplify right side
    155,412x = 53,898,265,600
  5. Step 5: Solve for x
    x = 53,898,265,600/155,412
  6. Step 6: Final answer
    x = 346,808.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.