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Finding the Third Proportional to 158,076 and 241,128

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Solution

The third proportional to 158,076 and 241,128 is: 367,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,076 : 241,128 = 241,128 : x
  2. Step 2: Convert to fraction form
    158,076/241,128 = 241,128/x
  3. Step 3: Cross multiply
    158,076x = 241,128 × 241,128
  4. Step 4: Simplify right side
    158,076x = 58,142,712,384
  5. Step 5: Solve for x
    x = 58,142,712,384/158,076
  6. Step 6: Final answer
    x = 367,814.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.