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Finding the Third Proportional to 86,875 and 190,358

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Solution

The third proportional to 86,875 and 190,358 is: 417,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,875 : 190,358 = 190,358 : x
  2. Step 2: Convert to fraction form
    86,875/190,358 = 190,358/x
  3. Step 3: Cross multiply
    86,875x = 190,358 × 190,358
  4. Step 4: Simplify right side
    86,875x = 36,236,168,164
  5. Step 5: Solve for x
    x = 36,236,168,164/86,875
  6. Step 6: Final answer
    x = 417,106.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.