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Finding the Third Proportional to 112,365 and 245,719.50

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Solution

The third proportional to 112,365 and 245,719.50 is: 537,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,365 : 245,719.50 = 245,719.50 : x
  2. Step 2: Convert to fraction form
    112,365/245,719.50 = 245,719.50/x
  3. Step 3: Cross multiply
    112,365x = 245,719.50 × 245,719.50
  4. Step 4: Simplify right side
    112,365x = 60,378,072,680.25
  5. Step 5: Solve for x
    x = 60,378,072,680.25/112,365
  6. Step 6: Final answer
    x = 537,338.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.