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Finding the Third Proportional to 243,151.88 and 523,756.13

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Solution

The third proportional to 243,151.88 and 523,756.13 is: 1,128,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,151.88 : 523,756.13 = 523,756.13 : x
  2. Step 2: Convert to fraction form
    243,151.88/523,756.13 = 523,756.13/x
  3. Step 3: Cross multiply
    243,151.88x = 523,756.13 × 523,756.13
  4. Step 4: Simplify right side
    243,151.88x = 274,320,478,475.02
  5. Step 5: Solve for x
    x = 274,320,478,475.02/243,151.88
  6. Step 6: Final answer
    x = 1,128,185.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.