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Finding the Third Proportional to 180,956.53 and 357,371.58

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Solution

The third proportional to 180,956.53 and 357,371.58 is: 705,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956.53 : 357,371.58 = 357,371.58 : x
  2. Step 2: Convert to fraction form
    180,956.53/357,371.58 = 357,371.58/x
  3. Step 3: Cross multiply
    180,956.53x = 357,371.58 × 357,371.58
  4. Step 4: Simplify right side
    180,956.53x = 127,714,444,851.55
  5. Step 5: Solve for x
    x = 127,714,444,851.55/180,956.53
  6. Step 6: Final answer
    x = 705,774.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.