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Finding the Third Proportional to 133,348 and 314,781

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Solution

The third proportional to 133,348 and 314,781 is: 743,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,348 : 314,781 = 314,781 : x
  2. Step 2: Convert to fraction form
    133,348/314,781 = 314,781/x
  3. Step 3: Cross multiply
    133,348x = 314,781 × 314,781
  4. Step 4: Simplify right side
    133,348x = 99,087,077,961
  5. Step 5: Solve for x
    x = 99,087,077,961/133,348
  6. Step 6: Final answer
    x = 743,071.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.