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Finding the Third Proportional to 156,374.75 and 340,816.25

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Solution

The third proportional to 156,374.75 and 340,816.25 is: 742,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,374.75 : 340,816.25 = 340,816.25 : x
  2. Step 2: Convert to fraction form
    156,374.75/340,816.25 = 340,816.25/x
  3. Step 3: Cross multiply
    156,374.75x = 340,816.25 × 340,816.25
  4. Step 4: Simplify right side
    156,374.75x = 116,155,716,264.06
  5. Step 5: Solve for x
    x = 116,155,716,264.06/156,374.75
  6. Step 6: Final answer
    x = 742,803.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.