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Finding the Third Proportional to 70,175 and 150,358

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Solution

The third proportional to 70,175 and 150,358 is: 322,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,175 : 150,358 = 150,358 : x
  2. Step 2: Convert to fraction form
    70,175/150,358 = 150,358/x
  3. Step 3: Cross multiply
    70,175x = 150,358 × 150,358
  4. Step 4: Simplify right side
    70,175x = 22,607,528,164
  5. Step 5: Solve for x
    x = 22,607,528,164/70,175
  6. Step 6: Final answer
    x = 322,159.29

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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.