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Finding the Third Proportional to 152,646 and 328,620

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Solution

The third proportional to 152,646 and 328,620 is: 707,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,646 : 328,620 = 328,620 : x
  2. Step 2: Convert to fraction form
    152,646/328,620 = 328,620/x
  3. Step 3: Cross multiply
    152,646x = 328,620 × 328,620
  4. Step 4: Simplify right side
    152,646x = 107,991,104,400
  5. Step 5: Solve for x
    x = 107,991,104,400/152,646
  6. Step 6: Final answer
    x = 707,461.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.