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Finding the Third Proportional to 232,172 and 508,088

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Solution

The third proportional to 232,172 and 508,088 is: 1,111,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,172 : 508,088 = 508,088 : x
  2. Step 2: Convert to fraction form
    232,172/508,088 = 508,088/x
  3. Step 3: Cross multiply
    232,172x = 508,088 × 508,088
  4. Step 4: Simplify right side
    232,172x = 258,153,415,744
  5. Step 5: Solve for x
    x = 258,153,415,744/232,172
  6. Step 6: Final answer
    x = 1,111,905.90

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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.