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Finding the Third Proportional to 233,107.50 and 348,223

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Solution

The third proportional to 233,107.50 and 348,223 is: 520,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,107.50 : 348,223 = 348,223 : x
  2. Step 2: Convert to fraction form
    233,107.50/348,223 = 348,223/x
  3. Step 3: Cross multiply
    233,107.50x = 348,223 × 348,223
  4. Step 4: Simplify right side
    233,107.50x = 121,259,257,729
  5. Step 5: Solve for x
    x = 121,259,257,729/233,107.50
  6. Step 6: Final answer
    x = 520,186.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.