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Finding the Third Proportional to 145,432 and 213,360

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Solution

The third proportional to 145,432 and 213,360 is: 313,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,432 : 213,360 = 213,360 : x
  2. Step 2: Convert to fraction form
    145,432/213,360 = 213,360/x
  3. Step 3: Cross multiply
    145,432x = 213,360 × 213,360
  4. Step 4: Simplify right side
    145,432x = 45,522,489,600
  5. Step 5: Solve for x
    x = 45,522,489,600/145,432
  6. Step 6: Final answer
    x = 313,015.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.