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Finding the Third Proportional to 237,881.25 and 347,890.50

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Solution

The third proportional to 237,881.25 and 347,890.50 is: 508,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,881.25 : 347,890.50 = 347,890.50 : x
  2. Step 2: Convert to fraction form
    237,881.25/347,890.50 = 347,890.50/x
  3. Step 3: Cross multiply
    237,881.25x = 347,890.50 × 347,890.50
  4. Step 4: Simplify right side
    237,881.25x = 121,027,799,990.25
  5. Step 5: Solve for x
    x = 121,027,799,990.25/237,881.25
  6. Step 6: Final answer
    x = 508,774.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.