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Finding the Third Proportional to 134,360.25 and 289,699.50

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Solution

The third proportional to 134,360.25 and 289,699.50 is: 624,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,360.25 : 289,699.50 = 289,699.50 : x
  2. Step 2: Convert to fraction form
    134,360.25/289,699.50 = 289,699.50/x
  3. Step 3: Cross multiply
    134,360.25x = 289,699.50 × 289,699.50
  4. Step 4: Simplify right side
    134,360.25x = 83,925,800,300.25
  5. Step 5: Solve for x
    x = 83,925,800,300.25/134,360.25
  6. Step 6: Final answer
    x = 624,632.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.