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Finding the Third Proportional to 232,095 and 313,146

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Solution

The third proportional to 232,095 and 313,146 is: 422,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,095 : 313,146 = 313,146 : x
  2. Step 2: Convert to fraction form
    232,095/313,146 = 313,146/x
  3. Step 3: Cross multiply
    232,095x = 313,146 × 313,146
  4. Step 4: Simplify right side
    232,095x = 98,060,417,316
  5. Step 5: Solve for x
    x = 98,060,417,316/232,095
  6. Step 6: Final answer
    x = 422,501.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.