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Finding the Third Proportional to 134,946.75 and 288,578.25

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Solution

The third proportional to 134,946.75 and 288,578.25 is: 617,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946.75 : 288,578.25 = 288,578.25 : x
  2. Step 2: Convert to fraction form
    134,946.75/288,578.25 = 288,578.25/x
  3. Step 3: Cross multiply
    134,946.75x = 288,578.25 × 288,578.25
  4. Step 4: Simplify right side
    134,946.75x = 83,277,406,373.06
  5. Step 5: Solve for x
    x = 83,277,406,373.06/134,946.75
  6. Step 6: Final answer
    x = 617,113.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.