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Finding the Third Proportional to 243,720.75 and 525,976.13

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Solution

The third proportional to 243,720.75 and 525,976.13 is: 1,135,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,720.75 : 525,976.13 = 525,976.13 : x
  2. Step 2: Convert to fraction form
    243,720.75/525,976.13 = 525,976.13/x
  3. Step 3: Cross multiply
    243,720.75x = 525,976.13 × 525,976.13
  4. Step 4: Simplify right side
    243,720.75x = 276,650,884,070.02
  5. Step 5: Solve for x
    x = 276,650,884,070.02/243,720.75
  6. Step 6: Final answer
    x = 1,135,114.20

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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.