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Finding the Third Proportional to 219,115 and 338,347.50

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Solution

The third proportional to 219,115 and 338,347.50 is: 522,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,115 : 338,347.50 = 338,347.50 : x
  2. Step 2: Convert to fraction form
    219,115/338,347.50 = 338,347.50/x
  3. Step 3: Cross multiply
    219,115x = 338,347.50 × 338,347.50
  4. Step 4: Simplify right side
    219,115x = 114,479,030,756.25
  5. Step 5: Solve for x
    x = 114,479,030,756.25/219,115
  6. Step 6: Final answer
    x = 522,460.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.