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Finding the Third Proportional to 239,186 and 370,119

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Solution

The third proportional to 239,186 and 370,119 is: 572,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,186 : 370,119 = 370,119 : x
  2. Step 2: Convert to fraction form
    239,186/370,119 = 370,119/x
  3. Step 3: Cross multiply
    239,186x = 370,119 × 370,119
  4. Step 4: Simplify right side
    239,186x = 136,988,074,161
  5. Step 5: Solve for x
    x = 136,988,074,161/239,186
  6. Step 6: Final answer
    x = 572,726.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.