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Finding the Third Proportional to 137,378 and 291,604

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Solution

The third proportional to 137,378 and 291,604 is: 618,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,378 : 291,604 = 291,604 : x
  2. Step 2: Convert to fraction form
    137,378/291,604 = 291,604/x
  3. Step 3: Cross multiply
    137,378x = 291,604 × 291,604
  4. Step 4: Simplify right side
    137,378x = 85,032,892,816
  5. Step 5: Solve for x
    x = 85,032,892,816/137,378
  6. Step 6: Final answer
    x = 618,970.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.