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Finding the Third Proportional to 155,827.55 and 254,424.80

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Solution

The third proportional to 155,827.55 and 254,424.80 is: 415,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,827.55 : 254,424.80 = 254,424.80 : x
  2. Step 2: Convert to fraction form
    155,827.55/254,424.80 = 254,424.80/x
  3. Step 3: Cross multiply
    155,827.55x = 254,424.80 × 254,424.80
  4. Step 4: Simplify right side
    155,827.55x = 64,731,977,264.89
  5. Step 5: Solve for x
    x = 64,731,977,264.89/155,827.55
  6. Step 6: Final answer
    x = 415,407.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.