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Finding the Third Proportional to 152,661 and 330,746

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Solution

The third proportional to 152,661 and 330,746 is: 716,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,661 : 330,746 = 330,746 : x
  2. Step 2: Convert to fraction form
    152,661/330,746 = 330,746/x
  3. Step 3: Cross multiply
    152,661x = 330,746 × 330,746
  4. Step 4: Simplify right side
    152,661x = 109,392,916,516
  5. Step 5: Solve for x
    x = 109,392,916,516/152,661
  6. Step 6: Final answer
    x = 716,574.09

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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.