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Finding the Third Proportional to 231,496.50 and 307,246.50

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Solution

The third proportional to 231,496.50 and 307,246.50 is: 407,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,496.50 : 307,246.50 = 307,246.50 : x
  2. Step 2: Convert to fraction form
    231,496.50/307,246.50 = 307,246.50/x
  3. Step 3: Cross multiply
    231,496.50x = 307,246.50 × 307,246.50
  4. Step 4: Simplify right side
    231,496.50x = 94,400,411,762.25
  5. Step 5: Solve for x
    x = 94,400,411,762.25/231,496.50
  6. Step 6: Final answer
    x = 407,783.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.