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Finding the Third Proportional to 187,719 and 388,746

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Solution

The third proportional to 187,719 and 388,746 is: 805,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,719 : 388,746 = 388,746 : x
  2. Step 2: Convert to fraction form
    187,719/388,746 = 388,746/x
  3. Step 3: Cross multiply
    187,719x = 388,746 × 388,746
  4. Step 4: Simplify right side
    187,719x = 151,123,452,516
  5. Step 5: Solve for x
    x = 151,123,452,516/187,719
  6. Step 6: Final answer
    x = 805,051.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.