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Finding the Third Proportional to 153,424 and 328,172

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Solution

The third proportional to 153,424 and 328,172 is: 701,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,424 : 328,172 = 328,172 : x
  2. Step 2: Convert to fraction form
    153,424/328,172 = 328,172/x
  3. Step 3: Cross multiply
    153,424x = 328,172 × 328,172
  4. Step 4: Simplify right side
    153,424x = 107,696,861,584
  5. Step 5: Solve for x
    x = 107,696,861,584/153,424
  6. Step 6: Final answer
    x = 701,955.77

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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.