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Finding the Third Proportional to 155,076 and 232,608

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Solution

The third proportional to 155,076 and 232,608 is: 348,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,076 : 232,608 = 232,608 : x
  2. Step 2: Convert to fraction form
    155,076/232,608 = 232,608/x
  3. Step 3: Cross multiply
    155,076x = 232,608 × 232,608
  4. Step 4: Simplify right side
    155,076x = 54,106,481,664
  5. Step 5: Solve for x
    x = 54,106,481,664/155,076
  6. Step 6: Final answer
    x = 348,903.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.