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Finding the Third Proportional to 225,368 and 337,348

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Solution

The third proportional to 225,368 and 337,348 is: 504,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,368 : 337,348 = 337,348 : x
  2. Step 2: Convert to fraction form
    225,368/337,348 = 337,348/x
  3. Step 3: Cross multiply
    225,368x = 337,348 × 337,348
  4. Step 4: Simplify right side
    225,368x = 113,803,673,104
  5. Step 5: Solve for x
    x = 113,803,673,104/225,368
  6. Step 6: Final answer
    x = 504,968.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.