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Finding the Third Proportional to 252,615.38 and 540,243

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Solution

The third proportional to 252,615.38 and 540,243 is: 1,155,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,615.38 : 540,243 = 540,243 : x
  2. Step 2: Convert to fraction form
    252,615.38/540,243 = 540,243/x
  3. Step 3: Cross multiply
    252,615.38x = 540,243 × 540,243
  4. Step 4: Simplify right side
    252,615.38x = 291,862,499,049
  5. Step 5: Solve for x
    x = 291,862,499,049/252,615.38
  6. Step 6: Final answer
    x = 1,155,363.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.