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Finding the Third Proportional to 158,888 and 232,984

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Solution

The third proportional to 158,888 and 232,984 is: 341,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,888 : 232,984 = 232,984 : x
  2. Step 2: Convert to fraction form
    158,888/232,984 = 232,984/x
  3. Step 3: Cross multiply
    158,888x = 232,984 × 232,984
  4. Step 4: Simplify right side
    158,888x = 54,281,544,256
  5. Step 5: Solve for x
    x = 54,281,544,256/158,888
  6. Step 6: Final answer
    x = 341,634.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.