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Finding the Third Proportional to 218,139 and 314,182.50

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Solution

The third proportional to 218,139 and 314,182.50 is: 452,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,139 : 314,182.50 = 314,182.50 : x
  2. Step 2: Convert to fraction form
    218,139/314,182.50 = 314,182.50/x
  3. Step 3: Cross multiply
    218,139x = 314,182.50 × 314,182.50
  4. Step 4: Simplify right side
    218,139x = 98,710,643,306.25
  5. Step 5: Solve for x
    x = 98,710,643,306.25/218,139
  6. Step 6: Final answer
    x = 452,512.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.