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Finding the Third Proportional to 126,343.50 and 272,368.50

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Solution

The third proportional to 126,343.50 and 272,368.50 is: 587,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,343.50 : 272,368.50 = 272,368.50 : x
  2. Step 2: Convert to fraction form
    126,343.50/272,368.50 = 272,368.50/x
  3. Step 3: Cross multiply
    126,343.50x = 272,368.50 × 272,368.50
  4. Step 4: Simplify right side
    126,343.50x = 74,184,599,792.25
  5. Step 5: Solve for x
    x = 74,184,599,792.25/126,343.50
  6. Step 6: Final answer
    x = 587,165.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.