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Finding the Third Proportional to 136,300.50 and 279,403.50

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Solution

The third proportional to 136,300.50 and 279,403.50 is: 572,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,300.50 : 279,403.50 = 279,403.50 : x
  2. Step 2: Convert to fraction form
    136,300.50/279,403.50 = 279,403.50/x
  3. Step 3: Cross multiply
    136,300.50x = 279,403.50 × 279,403.50
  4. Step 4: Simplify right side
    136,300.50x = 78,066,315,812.25
  5. Step 5: Solve for x
    x = 78,066,315,812.25/136,300.50
  6. Step 6: Final answer
    x = 572,751.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.