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Finding the Third Proportional to 123,438 and 186,888

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Solution

The third proportional to 123,438 and 186,888 is: 282,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,438 : 186,888 = 186,888 : x
  2. Step 2: Convert to fraction form
    123,438/186,888 = 186,888/x
  3. Step 3: Cross multiply
    123,438x = 186,888 × 186,888
  4. Step 4: Simplify right side
    123,438x = 34,927,124,544
  5. Step 5: Solve for x
    x = 34,927,124,544/123,438
  6. Step 6: Final answer
    x = 282,952.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.