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Finding the Third Proportional to 164,248 and 181,528

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Solution

The third proportional to 164,248 and 181,528 is: 200,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,248 : 181,528 = 181,528 : x
  2. Step 2: Convert to fraction form
    164,248/181,528 = 181,528/x
  3. Step 3: Cross multiply
    164,248x = 181,528 × 181,528
  4. Step 4: Simplify right side
    164,248x = 32,952,414,784
  5. Step 5: Solve for x
    x = 32,952,414,784/164,248
  6. Step 6: Final answer
    x = 200,625.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.