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Finding the Third Proportional to 200,337.19 and 286,462.13

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Solution

The third proportional to 200,337.19 and 286,462.13 is: 409,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,337.19 : 286,462.13 = 286,462.13 : x
  2. Step 2: Convert to fraction form
    200,337.19/286,462.13 = 286,462.13/x
  3. Step 3: Cross multiply
    200,337.19x = 286,462.13 × 286,462.13
  4. Step 4: Simplify right side
    200,337.19x = 82,060,549,059.52
  5. Step 5: Solve for x
    x = 82,060,549,059.52/200,337.19
  6. Step 6: Final answer
    x = 409,612.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.