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Finding the Third Proportional to 137,557 and 301,356

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Solution

The third proportional to 137,557 and 301,356 is: 660,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,557 : 301,356 = 301,356 : x
  2. Step 2: Convert to fraction form
    137,557/301,356 = 301,356/x
  3. Step 3: Cross multiply
    137,557x = 301,356 × 301,356
  4. Step 4: Simplify right side
    137,557x = 90,815,438,736
  5. Step 5: Solve for x
    x = 90,815,438,736/137,557
  6. Step 6: Final answer
    x = 660,202.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.