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Finding the Third Proportional to 225,657 and 348,273

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Solution

The third proportional to 225,657 and 348,273 is: 537,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,657 : 348,273 = 348,273 : x
  2. Step 2: Convert to fraction form
    225,657/348,273 = 348,273/x
  3. Step 3: Cross multiply
    225,657x = 348,273 × 348,273
  4. Step 4: Simplify right side
    225,657x = 121,294,082,529
  5. Step 5: Solve for x
    x = 121,294,082,529/225,657
  6. Step 6: Final answer
    x = 537,515.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.