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Finding the Third Proportional to 192,492 and 466,465.50

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Solution

The third proportional to 192,492 and 466,465.50 is: 1,130,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,492 : 466,465.50 = 466,465.50 : x
  2. Step 2: Convert to fraction form
    192,492/466,465.50 = 466,465.50/x
  3. Step 3: Cross multiply
    192,492x = 466,465.50 × 466,465.50
  4. Step 4: Simplify right side
    192,492x = 217,590,062,690.25
  5. Step 5: Solve for x
    x = 217,590,062,690.25/192,492
  6. Step 6: Final answer
    x = 1,130,384.97

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.