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Finding the Third Proportional to 214,432.50 and 314,484.75

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Solution

The third proportional to 214,432.50 and 314,484.75 is: 461,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,432.50 : 314,484.75 = 314,484.75 : x
  2. Step 2: Convert to fraction form
    214,432.50/314,484.75 = 314,484.75/x
  3. Step 3: Cross multiply
    214,432.50x = 314,484.75 × 314,484.75
  4. Step 4: Simplify right side
    214,432.50x = 98,900,657,982.56
  5. Step 5: Solve for x
    x = 98,900,657,982.56/214,432.50
  6. Step 6: Final answer
    x = 461,220.47

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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.