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Finding the Third Proportional to 186,851 and 289,457

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Solution

The third proportional to 186,851 and 289,457 is: 448,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,851 : 289,457 = 289,457 : x
  2. Step 2: Convert to fraction form
    186,851/289,457 = 289,457/x
  3. Step 3: Cross multiply
    186,851x = 289,457 × 289,457
  4. Step 4: Simplify right side
    186,851x = 83,785,354,849
  5. Step 5: Solve for x
    x = 83,785,354,849/186,851
  6. Step 6: Final answer
    x = 448,407.31

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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.