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Finding the Third Proportional to 170,484 and 374,206

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Solution

The third proportional to 170,484 and 374,206 is: 821,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,484 : 374,206 = 374,206 : x
  2. Step 2: Convert to fraction form
    170,484/374,206 = 374,206/x
  3. Step 3: Cross multiply
    170,484x = 374,206 × 374,206
  4. Step 4: Simplify right side
    170,484x = 140,030,130,436
  5. Step 5: Solve for x
    x = 140,030,130,436/170,484
  6. Step 6: Final answer
    x = 821,368.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.