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Finding the Third Proportional to 153,321.19 and 235,347.19

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Solution

The third proportional to 153,321.19 and 235,347.19 is: 361,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,321.19 : 235,347.19 = 235,347.19 : x
  2. Step 2: Convert to fraction form
    153,321.19/235,347.19 = 235,347.19/x
  3. Step 3: Cross multiply
    153,321.19x = 235,347.19 × 235,347.19
  4. Step 4: Simplify right side
    153,321.19x = 55,388,298,664.16
  5. Step 5: Solve for x
    x = 55,388,298,664.16/153,321.19
  6. Step 6: Final answer
    x = 361,256.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.