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Finding the Third Proportional to 140,543.23 and 200,304.14

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Solution

The third proportional to 140,543.23 and 200,304.14 is: 285,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,543.23 : 200,304.14 = 200,304.14 : x
  2. Step 2: Convert to fraction form
    140,543.23/200,304.14 = 200,304.14/x
  3. Step 3: Cross multiply
    140,543.23x = 200,304.14 × 200,304.14
  4. Step 4: Simplify right side
    140,543.23x = 40,121,748,751.52
  5. Step 5: Solve for x
    x = 40,121,748,751.52/140,543.23
  6. Step 6: Final answer
    x = 285,476.22

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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.