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Finding the Third Proportional to 186,468 and 289,260

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Solution

The third proportional to 186,468 and 289,260 is: 448,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,468 : 289,260 = 289,260 : x
  2. Step 2: Convert to fraction form
    186,468/289,260 = 289,260/x
  3. Step 3: Cross multiply
    186,468x = 289,260 × 289,260
  4. Step 4: Simplify right side
    186,468x = 83,671,347,600
  5. Step 5: Solve for x
    x = 83,671,347,600/186,468
  6. Step 6: Final answer
    x = 448,716.93

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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.