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Finding the Third Proportional to 186,881.91 and 282,552.47

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Solution

The third proportional to 186,881.91 and 282,552.47 is: 427,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,881.91 : 282,552.47 = 282,552.47 : x
  2. Step 2: Convert to fraction form
    186,881.91/282,552.47 = 282,552.47/x
  3. Step 3: Cross multiply
    186,881.91x = 282,552.47 × 282,552.47
  4. Step 4: Simplify right side
    186,881.91x = 79,835,897,596.72
  5. Step 5: Solve for x
    x = 79,835,897,596.72/186,881.91
  6. Step 6: Final answer
    x = 427,199.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.