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Finding the Third Proportional to 170,602 and 371,457

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Solution

The third proportional to 170,602 and 371,457 is: 808,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,602 : 371,457 = 371,457 : x
  2. Step 2: Convert to fraction form
    170,602/371,457 = 371,457/x
  3. Step 3: Cross multiply
    170,602x = 371,457 × 371,457
  4. Step 4: Simplify right side
    170,602x = 137,980,302,849
  5. Step 5: Solve for x
    x = 137,980,302,849/170,602
  6. Step 6: Final answer
    x = 808,784.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.