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Finding the Third Proportional to 134,237.25 and 289,492.31

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Solution

The third proportional to 134,237.25 and 289,492.31 is: 624,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,237.25 : 289,492.31 = 289,492.31 : x
  2. Step 2: Convert to fraction form
    134,237.25/289,492.31 = 289,492.31/x
  3. Step 3: Cross multiply
    134,237.25x = 289,492.31 × 289,492.31
  4. Step 4: Simplify right side
    134,237.25x = 83,805,798,996.60
  5. Step 5: Solve for x
    x = 83,805,798,996.60/134,237.25
  6. Step 6: Final answer
    x = 624,311.05

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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.