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Finding the Third Proportional to 230,803.50 and 349,387.50

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Solution

The third proportional to 230,803.50 and 349,387.50 is: 528,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,803.50 : 349,387.50 = 349,387.50 : x
  2. Step 2: Convert to fraction form
    230,803.50/349,387.50 = 349,387.50/x
  3. Step 3: Cross multiply
    230,803.50x = 349,387.50 × 349,387.50
  4. Step 4: Simplify right side
    230,803.50x = 122,071,625,156.25
  5. Step 5: Solve for x
    x = 122,071,625,156.25/230,803.50
  6. Step 6: Final answer
    x = 528,898.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.