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Finding the Third Proportional to 155,360 and 232,959

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Solution

The third proportional to 155,360 and 232,959 is: 349,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,360 : 232,959 = 232,959 : x
  2. Step 2: Convert to fraction form
    155,360/232,959 = 232,959/x
  3. Step 3: Cross multiply
    155,360x = 232,959 × 232,959
  4. Step 4: Simplify right side
    155,360x = 54,269,895,681
  5. Step 5: Solve for x
    x = 54,269,895,681/155,360
  6. Step 6: Final answer
    x = 349,317.04

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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.