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Finding the Third Proportional to 113,908 and 249,646

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Solution

The third proportional to 113,908 and 249,646 is: 547,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,908 : 249,646 = 249,646 : x
  2. Step 2: Convert to fraction form
    113,908/249,646 = 249,646/x
  3. Step 3: Cross multiply
    113,908x = 249,646 × 249,646
  4. Step 4: Simplify right side
    113,908x = 62,323,125,316
  5. Step 5: Solve for x
    x = 62,323,125,316/113,908
  6. Step 6: Final answer
    x = 547,135.63

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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.