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Finding the Third Proportional to 233,106.50 and 348,221.50

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Solution

The third proportional to 233,106.50 and 348,221.50 is: 520,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,106.50 : 348,221.50 = 348,221.50 : x
  2. Step 2: Convert to fraction form
    233,106.50/348,221.50 = 348,221.50/x
  3. Step 3: Cross multiply
    233,106.50x = 348,221.50 × 348,221.50
  4. Step 4: Simplify right side
    233,106.50x = 121,258,213,062.25
  5. Step 5: Solve for x
    x = 121,258,213,062.25/233,106.50
  6. Step 6: Final answer
    x = 520,183.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.