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Finding the Third Proportional to 140,685 and 201,528

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Solution

The third proportional to 140,685 and 201,528 is: 288,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,685 : 201,528 = 201,528 : x
  2. Step 2: Convert to fraction form
    140,685/201,528 = 201,528/x
  3. Step 3: Cross multiply
    140,685x = 201,528 × 201,528
  4. Step 4: Simplify right side
    140,685x = 40,613,534,784
  5. Step 5: Solve for x
    x = 40,613,534,784/140,685
  6. Step 6: Final answer
    x = 288,684.19

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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.