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Finding the Third Proportional to 225,282 and 314,959.50

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Solution

The third proportional to 225,282 and 314,959.50 is: 440,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,282 : 314,959.50 = 314,959.50 : x
  2. Step 2: Convert to fraction form
    225,282/314,959.50 = 314,959.50/x
  3. Step 3: Cross multiply
    225,282x = 314,959.50 × 314,959.50
  4. Step 4: Simplify right side
    225,282x = 99,199,486,640.25
  5. Step 5: Solve for x
    x = 99,199,486,640.25/225,282
  6. Step 6: Final answer
    x = 440,334.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.