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Finding the Third Proportional to 233,246.25 and 349,807.50

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Solution

The third proportional to 233,246.25 and 349,807.50 is: 524,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,246.25 : 349,807.50 = 349,807.50 : x
  2. Step 2: Convert to fraction form
    233,246.25/349,807.50 = 349,807.50/x
  3. Step 3: Cross multiply
    233,246.25x = 349,807.50 × 349,807.50
  4. Step 4: Simplify right side
    233,246.25x = 122,365,287,056.25
  5. Step 5: Solve for x
    x = 122,365,287,056.25/233,246.25
  6. Step 6: Final answer
    x = 524,618.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.