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Finding the Third Proportional to 70,700 and 152,470

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Solution

The third proportional to 70,700 and 152,470 is: 328,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700 : 152,470 = 152,470 : x
  2. Step 2: Convert to fraction form
    70,700/152,470 = 152,470/x
  3. Step 3: Cross multiply
    70,700x = 152,470 × 152,470
  4. Step 4: Simplify right side
    70,700x = 23,247,100,900
  5. Step 5: Solve for x
    x = 23,247,100,900/70,700
  6. Step 6: Final answer
    x = 328,813.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.