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Finding the Third Proportional to 153,023.63 and 232,920.75

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Solution

The third proportional to 153,023.63 and 232,920.75 is: 354,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,023.63 : 232,920.75 = 232,920.75 : x
  2. Step 2: Convert to fraction form
    153,023.63/232,920.75 = 232,920.75/x
  3. Step 3: Cross multiply
    153,023.63x = 232,920.75 × 232,920.75
  4. Step 4: Simplify right side
    153,023.63x = 54,252,075,780.56
  5. Step 5: Solve for x
    x = 54,252,075,780.56/153,023.63
  6. Step 6: Final answer
    x = 354,533.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.