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Finding the Third Proportional to 148,066 and 235,492

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Solution

The third proportional to 148,066 and 235,492 is: 374,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,066 : 235,492 = 235,492 : x
  2. Step 2: Convert to fraction form
    148,066/235,492 = 235,492/x
  3. Step 3: Cross multiply
    148,066x = 235,492 × 235,492
  4. Step 4: Simplify right side
    148,066x = 55,456,482,064
  5. Step 5: Solve for x
    x = 55,456,482,064/148,066
  6. Step 6: Final answer
    x = 374,538.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.