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Finding the Third Proportional to 157,536 and 328,356

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Solution

The third proportional to 157,536 and 328,356 is: 684,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,536 : 328,356 = 328,356 : x
  2. Step 2: Convert to fraction form
    157,536/328,356 = 328,356/x
  3. Step 3: Cross multiply
    157,536x = 328,356 × 328,356
  4. Step 4: Simplify right side
    157,536x = 107,817,662,736
  5. Step 5: Solve for x
    x = 107,817,662,736/157,536
  6. Step 6: Final answer
    x = 684,400.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.