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Finding the Third Proportional to 158,368.50 and 341,634.38

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Solution

The third proportional to 158,368.50 and 341,634.38 is: 736,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,368.50 : 341,634.38 = 341,634.38 : x
  2. Step 2: Convert to fraction form
    158,368.50/341,634.38 = 341,634.38/x
  3. Step 3: Cross multiply
    158,368.50x = 341,634.38 × 341,634.38
  4. Step 4: Simplify right side
    158,368.50x = 116,714,046,181.64
  5. Step 5: Solve for x
    x = 116,714,046,181.64/158,368.50
  6. Step 6: Final answer
    x = 736,977.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.