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Finding the Third Proportional to 202,347.50 and 437,115

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Solution

The third proportional to 202,347.50 and 437,115 is: 944,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,347.50 : 437,115 = 437,115 : x
  2. Step 2: Convert to fraction form
    202,347.50/437,115 = 437,115/x
  3. Step 3: Cross multiply
    202,347.50x = 437,115 × 437,115
  4. Step 4: Simplify right side
    202,347.50x = 191,069,523,225
  5. Step 5: Solve for x
    x = 191,069,523,225/202,347.50
  6. Step 6: Final answer
    x = 944,264.31

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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.