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Finding the Third Proportional to 186,484 and 289,284

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Solution

The third proportional to 186,484 and 289,284 is: 448,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,484 : 289,284 = 289,284 : x
  2. Step 2: Convert to fraction form
    186,484/289,284 = 289,284/x
  3. Step 3: Cross multiply
    186,484x = 289,284 × 289,284
  4. Step 4: Simplify right side
    186,484x = 83,685,232,656
  5. Step 5: Solve for x
    x = 83,685,232,656/186,484
  6. Step 6: Final answer
    x = 448,752.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.