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Finding the Third Proportional to 155,795.25 and 254,374.50

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Solution

The third proportional to 155,795.25 and 254,374.50 is: 415,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,795.25 : 254,374.50 = 254,374.50 : x
  2. Step 2: Convert to fraction form
    155,795.25/254,374.50 = 254,374.50/x
  3. Step 3: Cross multiply
    155,795.25x = 254,374.50 × 254,374.50
  4. Step 4: Simplify right side
    155,795.25x = 64,706,386,250.25
  5. Step 5: Solve for x
    x = 64,706,386,250.25/155,795.25
  6. Step 6: Final answer
    x = 415,329.65

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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.