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Finding the Third Proportional to 170,844 and 373,864.50

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Solution

The third proportional to 170,844 and 373,864.50 is: 818,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,844 : 373,864.50 = 373,864.50 : x
  2. Step 2: Convert to fraction form
    170,844/373,864.50 = 373,864.50/x
  3. Step 3: Cross multiply
    170,844x = 373,864.50 × 373,864.50
  4. Step 4: Simplify right side
    170,844x = 139,774,664,360.25
  5. Step 5: Solve for x
    x = 139,774,664,360.25/170,844
  6. Step 6: Final answer
    x = 818,142.07

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