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Finding the Third Proportional to 112,242 and 249,398

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Solution

The third proportional to 112,242 and 249,398 is: 554,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,242 : 249,398 = 249,398 : x
  2. Step 2: Convert to fraction form
    112,242/249,398 = 249,398/x
  3. Step 3: Cross multiply
    112,242x = 249,398 × 249,398
  4. Step 4: Simplify right side
    112,242x = 62,199,362,404
  5. Step 5: Solve for x
    x = 62,199,362,404/112,242
  6. Step 6: Final answer
    x = 554,154.08

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Why These Related Problems?

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