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Finding the Third Proportional to 134,826 and 292,570

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Solution

The third proportional to 134,826 and 292,570 is: 634,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,826 : 292,570 = 292,570 : x
  2. Step 2: Convert to fraction form
    134,826/292,570 = 292,570/x
  3. Step 3: Cross multiply
    134,826x = 292,570 × 292,570
  4. Step 4: Simplify right side
    134,826x = 85,597,204,900
  5. Step 5: Solve for x
    x = 85,597,204,900/134,826
  6. Step 6: Final answer
    x = 634,871.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.