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Finding the Third Proportional to 113,486 and 249,484

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Solution

The third proportional to 113,486 and 249,484 is: 548,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,486 : 249,484 = 249,484 : x
  2. Step 2: Convert to fraction form
    113,486/249,484 = 249,484/x
  3. Step 3: Cross multiply
    113,486x = 249,484 × 249,484
  4. Step 4: Simplify right side
    113,486x = 62,242,266,256
  5. Step 5: Solve for x
    x = 62,242,266,256/113,486
  6. Step 6: Final answer
    x = 548,457.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.