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Finding the Third Proportional to 243,492.75 and 374,473.13

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Solution

The third proportional to 243,492.75 and 374,473.13 is: 575,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,492.75 : 374,473.13 = 374,473.13 : x
  2. Step 2: Convert to fraction form
    243,492.75/374,473.13 = 374,473.13/x
  3. Step 3: Cross multiply
    243,492.75x = 374,473.13 × 374,473.13
  4. Step 4: Simplify right side
    243,492.75x = 140,230,121,347.27
  5. Step 5: Solve for x
    x = 140,230,121,347.27/243,492.75
  6. Step 6: Final answer
    x = 575,910.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.