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Finding the Third Proportional to 134,345.25 and 289,669.50

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Solution

The third proportional to 134,345.25 and 289,669.50 is: 624,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,345.25 : 289,669.50 = 289,669.50 : x
  2. Step 2: Convert to fraction form
    134,345.25/289,669.50 = 289,669.50/x
  3. Step 3: Cross multiply
    134,345.25x = 289,669.50 × 289,669.50
  4. Step 4: Simplify right side
    134,345.25x = 83,908,419,230.25
  5. Step 5: Solve for x
    x = 83,908,419,230.25/134,345.25
  6. Step 6: Final answer
    x = 624,573.03

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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.