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Finding the Third Proportional to 162,127.04 and 230,952.75

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Solution

The third proportional to 162,127.04 and 230,952.75 is: 328,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,127.04 : 230,952.75 = 230,952.75 : x
  2. Step 2: Convert to fraction form
    162,127.04/230,952.75 = 230,952.75/x
  3. Step 3: Cross multiply
    162,127.04x = 230,952.75 × 230,952.75
  4. Step 4: Simplify right side
    162,127.04x = 53,339,174,085.80
  5. Step 5: Solve for x
    x = 53,339,174,085.80/162,127.04
  6. Step 6: Final answer
    x = 328,996.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.