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Finding the Third Proportional to 170,897.50 and 374,013

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Solution

The third proportional to 170,897.50 and 374,013 is: 818,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,897.50 : 374,013 = 374,013 : x
  2. Step 2: Convert to fraction form
    170,897.50/374,013 = 374,013/x
  3. Step 3: Cross multiply
    170,897.50x = 374,013 × 374,013
  4. Step 4: Simplify right side
    170,897.50x = 139,885,724,169
  5. Step 5: Solve for x
    x = 139,885,724,169/170,897.50
  6. Step 6: Final answer
    x = 818,535.81

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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.