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Finding the Third Proportional to 174,983 and 374,750.50

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Solution

The third proportional to 174,983 and 374,750.50 is: 802,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,983 : 374,750.50 = 374,750.50 : x
  2. Step 2: Convert to fraction form
    174,983/374,750.50 = 374,750.50/x
  3. Step 3: Cross multiply
    174,983x = 374,750.50 × 374,750.50
  4. Step 4: Simplify right side
    174,983x = 140,437,937,250.25
  5. Step 5: Solve for x
    x = 140,437,937,250.25/174,983
  6. Step 6: Final answer
    x = 802,580.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.