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Finding the Third Proportional to 117,834 and 249,315

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Solution

The third proportional to 117,834 and 249,315 is: 527,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,834 : 249,315 = 249,315 : x
  2. Step 2: Convert to fraction form
    117,834/249,315 = 249,315/x
  3. Step 3: Cross multiply
    117,834x = 249,315 × 249,315
  4. Step 4: Simplify right side
    117,834x = 62,157,969,225
  5. Step 5: Solve for x
    x = 62,157,969,225/117,834
  6. Step 6: Final answer
    x = 527,504.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.