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Finding the Third Proportional to 70,695.50 and 152,461

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Solution

The third proportional to 70,695.50 and 152,461 is: 328,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,695.50 : 152,461 = 152,461 : x
  2. Step 2: Convert to fraction form
    70,695.50/152,461 = 152,461/x
  3. Step 3: Cross multiply
    70,695.50x = 152,461 × 152,461
  4. Step 4: Simplify right side
    70,695.50x = 23,244,356,521
  5. Step 5: Solve for x
    x = 23,244,356,521/70,695.50
  6. Step 6: Final answer
    x = 328,795.42

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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.