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Finding the Third Proportional to 201,957.47 and 299,036.81

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Solution

The third proportional to 201,957.47 and 299,036.81 is: 442,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,957.47 : 299,036.81 = 299,036.81 : x
  2. Step 2: Convert to fraction form
    201,957.47/299,036.81 = 299,036.81/x
  3. Step 3: Cross multiply
    201,957.47x = 299,036.81 × 299,036.81
  4. Step 4: Simplify right side
    201,957.47x = 89,423,015,230.16
  5. Step 5: Solve for x
    x = 89,423,015,230.16/201,957.47
  6. Step 6: Final answer
    x = 442,781.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.