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Finding the Third Proportional to 216,294 and 289,323

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Solution

The third proportional to 216,294 and 289,323 is: 387,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,294 : 289,323 = 289,323 : x
  2. Step 2: Convert to fraction form
    216,294/289,323 = 289,323/x
  3. Step 3: Cross multiply
    216,294x = 289,323 × 289,323
  4. Step 4: Simplify right side
    216,294x = 83,707,798,329
  5. Step 5: Solve for x
    x = 83,707,798,329/216,294
  6. Step 6: Final answer
    x = 387,009.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.