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Finding the Third Proportional to 152,164 and 328,388

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Solution

The third proportional to 152,164 and 328,388 is: 708,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,164 : 328,388 = 328,388 : x
  2. Step 2: Convert to fraction form
    152,164/328,388 = 328,388/x
  3. Step 3: Cross multiply
    152,164x = 328,388 × 328,388
  4. Step 4: Simplify right side
    152,164x = 107,838,678,544
  5. Step 5: Solve for x
    x = 107,838,678,544/152,164
  6. Step 6: Final answer
    x = 708,700.34

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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.