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Finding the Third Proportional to 113,832 and 249,807.38

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Solution

The third proportional to 113,832 and 249,807.38 is: 548,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,832 : 249,807.38 = 249,807.38 : x
  2. Step 2: Convert to fraction form
    113,832/249,807.38 = 249,807.38/x
  3. Step 3: Cross multiply
    113,832x = 249,807.38 × 249,807.38
  4. Step 4: Simplify right side
    113,832x = 62,403,724,604.39
  5. Step 5: Solve for x
    x = 62,403,724,604.39/113,832
  6. Step 6: Final answer
    x = 548,208.98

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Why These Related Problems?

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