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Finding the Third Proportional to 145,822 and 186,332

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Solution

The third proportional to 145,822 and 186,332 is: 238,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,822 : 186,332 = 186,332 : x
  2. Step 2: Convert to fraction form
    145,822/186,332 = 186,332/x
  3. Step 3: Cross multiply
    145,822x = 186,332 × 186,332
  4. Step 4: Simplify right side
    145,822x = 34,719,614,224
  5. Step 5: Solve for x
    x = 34,719,614,224/145,822
  6. Step 6: Final answer
    x = 238,095.86

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.