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Finding the Third Proportional to 148,375 and 314,408

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Solution

The third proportional to 148,375 and 314,408 is: 666,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,375 : 314,408 = 314,408 : x
  2. Step 2: Convert to fraction form
    148,375/314,408 = 314,408/x
  3. Step 3: Cross multiply
    148,375x = 314,408 × 314,408
  4. Step 4: Simplify right side
    148,375x = 98,852,390,464
  5. Step 5: Solve for x
    x = 98,852,390,464/148,375
  6. Step 6: Final answer
    x = 666,233.47

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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.