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Finding the Third Proportional to 230,103 and 348,718.50

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Solution

The third proportional to 230,103 and 348,718.50 is: 528,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,103 : 348,718.50 = 348,718.50 : x
  2. Step 2: Convert to fraction form
    230,103/348,718.50 = 348,718.50/x
  3. Step 3: Cross multiply
    230,103x = 348,718.50 × 348,718.50
  4. Step 4: Simplify right side
    230,103x = 121,604,592,242.25
  5. Step 5: Solve for x
    x = 121,604,592,242.25/230,103
  6. Step 6: Final answer
    x = 528,478.95

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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.