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Finding the Third Proportional to 159,308 and 216,484

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Solution

The third proportional to 159,308 and 216,484 is: 294,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,308 : 216,484 = 216,484 : x
  2. Step 2: Convert to fraction form
    159,308/216,484 = 216,484/x
  3. Step 3: Cross multiply
    159,308x = 216,484 × 216,484
  4. Step 4: Simplify right side
    159,308x = 46,865,322,256
  5. Step 5: Solve for x
    x = 46,865,322,256/159,308
  6. Step 6: Final answer
    x = 294,180.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.