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Finding the Third Proportional to 151,023 and 352,717.50

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Solution

The third proportional to 151,023 and 352,717.50 is: 823,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,023 : 352,717.50 = 352,717.50 : x
  2. Step 2: Convert to fraction form
    151,023/352,717.50 = 352,717.50/x
  3. Step 3: Cross multiply
    151,023x = 352,717.50 × 352,717.50
  4. Step 4: Simplify right side
    151,023x = 124,409,634,806.25
  5. Step 5: Solve for x
    x = 124,409,634,806.25/151,023
  6. Step 6: Final answer
    x = 823,779.39

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.