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Finding the Third Proportional to 152,952 and 330,504

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Solution

The third proportional to 152,952 and 330,504 is: 714,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,952 : 330,504 = 330,504 : x
  2. Step 2: Convert to fraction form
    152,952/330,504 = 330,504/x
  3. Step 3: Cross multiply
    152,952x = 330,504 × 330,504
  4. Step 4: Simplify right side
    152,952x = 109,232,894,016
  5. Step 5: Solve for x
    x = 109,232,894,016/152,952
  6. Step 6: Final answer
    x = 714,164.54

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Why These Related Problems?

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