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Finding the Third Proportional to 230,038.50 and 349,203

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Solution

The third proportional to 230,038.50 and 349,203 is: 530,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,038.50 : 349,203 = 349,203 : x
  2. Step 2: Convert to fraction form
    230,038.50/349,203 = 349,203/x
  3. Step 3: Cross multiply
    230,038.50x = 349,203 × 349,203
  4. Step 4: Simplify right side
    230,038.50x = 121,942,735,209
  5. Step 5: Solve for x
    x = 121,942,735,209/230,038.50
  6. Step 6: Final answer
    x = 530,097.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.