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Finding the Third Proportional to 137,599.13 and 295,543.13

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Solution

The third proportional to 137,599.13 and 295,543.13 is: 634,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,599.13 : 295,543.13 = 295,543.13 : x
  2. Step 2: Convert to fraction form
    137,599.13/295,543.13 = 295,543.13/x
  3. Step 3: Cross multiply
    137,599.13x = 295,543.13 × 295,543.13
  4. Step 4: Simplify right side
    137,599.13x = 87,345,738,734.77
  5. Step 5: Solve for x
    x = 87,345,738,734.77/137,599.13
  6. Step 6: Final answer
    x = 634,784.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.