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Finding the Third Proportional to 152,646.75 and 330,705

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Solution

The third proportional to 152,646.75 and 330,705 is: 716,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,646.75 : 330,705 = 330,705 : x
  2. Step 2: Convert to fraction form
    152,646.75/330,705 = 330,705/x
  3. Step 3: Cross multiply
    152,646.75x = 330,705 × 330,705
  4. Step 4: Simplify right side
    152,646.75x = 109,365,797,025
  5. Step 5: Solve for x
    x = 109,365,797,025/152,646.75
  6. Step 6: Final answer
    x = 716,463.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.