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Finding the Third Proportional to 142,045.50 and 305,596.50

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Solution

The third proportional to 142,045.50 and 305,596.50 is: 657,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,045.50 : 305,596.50 = 305,596.50 : x
  2. Step 2: Convert to fraction form
    142,045.50/305,596.50 = 305,596.50/x
  3. Step 3: Cross multiply
    142,045.50x = 305,596.50 × 305,596.50
  4. Step 4: Simplify right side
    142,045.50x = 93,389,220,812.25
  5. Step 5: Solve for x
    x = 93,389,220,812.25/142,045.50
  6. Step 6: Final answer
    x = 657,459.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.