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Finding the Third Proportional to 112,233 and 249,378

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Solution

The third proportional to 112,233 and 249,378 is: 554,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,233 : 249,378 = 249,378 : x
  2. Step 2: Convert to fraction form
    112,233/249,378 = 249,378/x
  3. Step 3: Cross multiply
    112,233x = 249,378 × 249,378
  4. Step 4: Simplify right side
    112,233x = 62,189,386,884
  5. Step 5: Solve for x
    x = 62,189,386,884/112,233
  6. Step 6: Final answer
    x = 554,109.64

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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.