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Finding the Third Proportional to 141,377 and 292,595.50

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Solution

The third proportional to 141,377 and 292,595.50 is: 605,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,377 : 292,595.50 = 292,595.50 : x
  2. Step 2: Convert to fraction form
    141,377/292,595.50 = 292,595.50/x
  3. Step 3: Cross multiply
    141,377x = 292,595.50 × 292,595.50
  4. Step 4: Simplify right side
    141,377x = 85,612,126,620.25
  5. Step 5: Solve for x
    x = 85,612,126,620.25/141,377
  6. Step 6: Final answer
    x = 605,559.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.