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Finding the Third Proportional to 148,160 and 235,364

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Solution

The third proportional to 148,160 and 235,364 is: 373,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,160 : 235,364 = 235,364 : x
  2. Step 2: Convert to fraction form
    148,160/235,364 = 235,364/x
  3. Step 3: Cross multiply
    148,160x = 235,364 × 235,364
  4. Step 4: Simplify right side
    148,160x = 55,396,212,496
  5. Step 5: Solve for x
    x = 55,396,212,496/148,160
  6. Step 6: Final answer
    x = 373,894.52

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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.