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Finding the Third Proportional to 202,273 and 317,294

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Solution

The third proportional to 202,273 and 317,294 is: 497,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,273 : 317,294 = 317,294 : x
  2. Step 2: Convert to fraction form
    202,273/317,294 = 317,294/x
  3. Step 3: Cross multiply
    202,273x = 317,294 × 317,294
  4. Step 4: Simplify right side
    202,273x = 100,675,482,436
  5. Step 5: Solve for x
    x = 100,675,482,436/202,273
  6. Step 6: Final answer
    x = 497,720.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.