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Finding the Third Proportional to 137,646 and 302,346

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Solution

The third proportional to 137,646 and 302,346 is: 664,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,646 : 302,346 = 302,346 : x
  2. Step 2: Convert to fraction form
    137,646/302,346 = 302,346/x
  3. Step 3: Cross multiply
    137,646x = 302,346 × 302,346
  4. Step 4: Simplify right side
    137,646x = 91,413,103,716
  5. Step 5: Solve for x
    x = 91,413,103,716/137,646
  6. Step 6: Final answer
    x = 664,117.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.