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Finding the Third Proportional to 156,026.25 and 292,065.75

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Solution

The third proportional to 156,026.25 and 292,065.75 is: 546,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,026.25 : 292,065.75 = 292,065.75 : x
  2. Step 2: Convert to fraction form
    156,026.25/292,065.75 = 292,065.75/x
  3. Step 3: Cross multiply
    156,026.25x = 292,065.75 × 292,065.75
  4. Step 4: Simplify right side
    156,026.25x = 85,302,402,323.06
  5. Step 5: Solve for x
    x = 85,302,402,323.06/156,026.25
  6. Step 6: Final answer
    x = 546,718.28

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.