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Finding the Third Proportional to 234,148.50 and 348,630.50

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Solution

The third proportional to 234,148.50 and 348,630.50 is: 519,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,148.50 : 348,630.50 = 348,630.50 : x
  2. Step 2: Convert to fraction form
    234,148.50/348,630.50 = 348,630.50/x
  3. Step 3: Cross multiply
    234,148.50x = 348,630.50 × 348,630.50
  4. Step 4: Simplify right side
    234,148.50x = 121,543,225,530.25
  5. Step 5: Solve for x
    x = 121,543,225,530.25/234,148.50
  6. Step 6: Final answer
    x = 519,086.07

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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.