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Finding the Third Proportional to 232,875 and 360,693

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Solution

The third proportional to 232,875 and 360,693 is: 558,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,875 : 360,693 = 360,693 : x
  2. Step 2: Convert to fraction form
    232,875/360,693 = 360,693/x
  3. Step 3: Cross multiply
    232,875x = 360,693 × 360,693
  4. Step 4: Simplify right side
    232,875x = 130,099,440,249
  5. Step 5: Solve for x
    x = 130,099,440,249/232,875
  6. Step 6: Final answer
    x = 558,666.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.