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Finding the Third Proportional to 130,916.25 and 200,178.84

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Solution

The third proportional to 130,916.25 and 200,178.84 is: 306,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,916.25 : 200,178.84 = 200,178.84 : x
  2. Step 2: Convert to fraction form
    130,916.25/200,178.84 = 200,178.84/x
  3. Step 3: Cross multiply
    130,916.25x = 200,178.84 × 200,178.84
  4. Step 4: Simplify right side
    130,916.25x = 40,071,569,485.09
  5. Step 5: Solve for x
    x = 40,071,569,485.09/130,916.25
  6. Step 6: Final answer
    x = 306,085.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.