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Finding the Third Proportional to 109,337.50 and 236,810

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Solution

The third proportional to 109,337.50 and 236,810 is: 512,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,337.50 : 236,810 = 236,810 : x
  2. Step 2: Convert to fraction form
    109,337.50/236,810 = 236,810/x
  3. Step 3: Cross multiply
    109,337.50x = 236,810 × 236,810
  4. Step 4: Simplify right side
    109,337.50x = 56,078,976,100
  5. Step 5: Solve for x
    x = 56,078,976,100/109,337.50
  6. Step 6: Final answer
    x = 512,897.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.