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Finding the Third Proportional to 158,044 and 342,440

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Solution

The third proportional to 158,044 and 342,440 is: 741,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,044 : 342,440 = 342,440 : x
  2. Step 2: Convert to fraction form
    158,044/342,440 = 342,440/x
  3. Step 3: Cross multiply
    158,044x = 342,440 × 342,440
  4. Step 4: Simplify right side
    158,044x = 117,265,153,600
  5. Step 5: Solve for x
    x = 117,265,153,600/158,044
  6. Step 6: Final answer
    x = 741,977.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.