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Finding the Third Proportional to 112,235 and 249,382.50

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Solution

The third proportional to 112,235 and 249,382.50 is: 554,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,235 : 249,382.50 = 249,382.50 : x
  2. Step 2: Convert to fraction form
    112,235/249,382.50 = 249,382.50/x
  3. Step 3: Cross multiply
    112,235x = 249,382.50 × 249,382.50
  4. Step 4: Simplify right side
    112,235x = 62,191,631,306.25
  5. Step 5: Solve for x
    x = 62,191,631,306.25/112,235
  6. Step 6: Final answer
    x = 554,119.76

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.