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Finding the Third Proportional to 231,870 and 368,844

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Solution

The third proportional to 231,870 and 368,844 is: 586,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,870 : 368,844 = 368,844 : x
  2. Step 2: Convert to fraction form
    231,870/368,844 = 368,844/x
  3. Step 3: Cross multiply
    231,870x = 368,844 × 368,844
  4. Step 4: Simplify right side
    231,870x = 136,045,896,336
  5. Step 5: Solve for x
    x = 136,045,896,336/231,870
  6. Step 6: Final answer
    x = 586,733.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.