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Finding the Third Proportional to 152,685 and 332,474.63

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Solution

The third proportional to 152,685 and 332,474.63 is: 723,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,685 : 332,474.63 = 332,474.63 : x
  2. Step 2: Convert to fraction form
    152,685/332,474.63 = 332,474.63/x
  3. Step 3: Cross multiply
    152,685x = 332,474.63 × 332,474.63
  4. Step 4: Simplify right side
    152,685x = 110,539,376,268.89
  5. Step 5: Solve for x
    x = 110,539,376,268.89/152,685
  6. Step 6: Final answer
    x = 723,970.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.