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Finding the Third Proportional to 134,866.75 and 295,131.50

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Solution

The third proportional to 134,866.75 and 295,131.50 is: 645,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,866.75 : 295,131.50 = 295,131.50 : x
  2. Step 2: Convert to fraction form
    134,866.75/295,131.50 = 295,131.50/x
  3. Step 3: Cross multiply
    134,866.75x = 295,131.50 × 295,131.50
  4. Step 4: Simplify right side
    134,866.75x = 87,102,602,292.25
  5. Step 5: Solve for x
    x = 87,102,602,292.25/134,866.75
  6. Step 6: Final answer
    x = 645,841.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.