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Finding the Third Proportional to 158,537 and 330,196

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Solution

The third proportional to 158,537 and 330,196 is: 687,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,537 : 330,196 = 330,196 : x
  2. Step 2: Convert to fraction form
    158,537/330,196 = 330,196/x
  3. Step 3: Cross multiply
    158,537x = 330,196 × 330,196
  4. Step 4: Simplify right side
    158,537x = 109,029,398,416
  5. Step 5: Solve for x
    x = 109,029,398,416/158,537
  6. Step 6: Final answer
    x = 687,722.10

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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.