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Finding the Third Proportional to 113,868 and 249,534

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Solution

The third proportional to 113,868 and 249,534 is: 546,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,868 : 249,534 = 249,534 : x
  2. Step 2: Convert to fraction form
    113,868/249,534 = 249,534/x
  3. Step 3: Cross multiply
    113,868x = 249,534 × 249,534
  4. Step 4: Simplify right side
    113,868x = 62,267,217,156
  5. Step 5: Solve for x
    x = 62,267,217,156/113,868
  6. Step 6: Final answer
    x = 546,836.84

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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.