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Finding the Third Proportional to 152,952 and 328,052

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Solution

The third proportional to 152,952 and 328,052 is: 703,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,952 : 328,052 = 328,052 : x
  2. Step 2: Convert to fraction form
    152,952/328,052 = 328,052/x
  3. Step 3: Cross multiply
    152,952x = 328,052 × 328,052
  4. Step 4: Simplify right side
    152,952x = 107,618,114,704
  5. Step 5: Solve for x
    x = 107,618,114,704/152,952
  6. Step 6: Final answer
    x = 703,607.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.