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Finding the Third Proportional to 163,500.75 and 350,302.50

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Solution

The third proportional to 163,500.75 and 350,302.50 is: 750,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,500.75 : 350,302.50 = 350,302.50 : x
  2. Step 2: Convert to fraction form
    163,500.75/350,302.50 = 350,302.50/x
  3. Step 3: Cross multiply
    163,500.75x = 350,302.50 × 350,302.50
  4. Step 4: Simplify right side
    163,500.75x = 122,711,841,506.25
  5. Step 5: Solve for x
    x = 122,711,841,506.25/163,500.75
  6. Step 6: Final answer
    x = 750,527.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.