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Finding the Third Proportional to 158,360 and 344,605

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Solution

The third proportional to 158,360 and 344,605 is: 749,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,360 : 344,605 = 344,605 : x
  2. Step 2: Convert to fraction form
    158,360/344,605 = 344,605/x
  3. Step 3: Cross multiply
    158,360x = 344,605 × 344,605
  4. Step 4: Simplify right side
    158,360x = 118,752,606,025
  5. Step 5: Solve for x
    x = 118,752,606,025/158,360
  6. Step 6: Final answer
    x = 749,890.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.