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Finding the Third Proportional to 229,551 and 350,902.50

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Solution

The third proportional to 229,551 and 350,902.50 is: 536,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,551 : 350,902.50 = 350,902.50 : x
  2. Step 2: Convert to fraction form
    229,551/350,902.50 = 350,902.50/x
  3. Step 3: Cross multiply
    229,551x = 350,902.50 × 350,902.50
  4. Step 4: Simplify right side
    229,551x = 123,132,564,506.25
  5. Step 5: Solve for x
    x = 123,132,564,506.25/229,551
  6. Step 6: Final answer
    x = 536,406.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.