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Finding the Third Proportional to 233,281.50 and 342,267

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Solution

The third proportional to 233,281.50 and 342,267 is: 502,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,281.50 : 342,267 = 342,267 : x
  2. Step 2: Convert to fraction form
    233,281.50/342,267 = 342,267/x
  3. Step 3: Cross multiply
    233,281.50x = 342,267 × 342,267
  4. Step 4: Simplify right side
    233,281.50x = 117,146,699,289
  5. Step 5: Solve for x
    x = 117,146,699,289/233,281.50
  6. Step 6: Final answer
    x = 502,168.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.