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Finding the Third Proportional to 252,281.25 and 401,180.63

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Solution

The third proportional to 252,281.25 and 401,180.63 is: 637,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,281.25 : 401,180.63 = 401,180.63 : x
  2. Step 2: Convert to fraction form
    252,281.25/401,180.63 = 401,180.63/x
  3. Step 3: Cross multiply
    252,281.25x = 401,180.63 × 401,180.63
  4. Step 4: Simplify right side
    252,281.25x = 160,945,893,875.39
  5. Step 5: Solve for x
    x = 160,945,893,875.39/252,281.25
  6. Step 6: Final answer
    x = 637,962.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.