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Finding the Third Proportional to 152,362.31 and 328,138.50

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Solution

The third proportional to 152,362.31 and 328,138.50 is: 706,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,362.31 : 328,138.50 = 328,138.50 : x
  2. Step 2: Convert to fraction form
    152,362.31/328,138.50 = 328,138.50/x
  3. Step 3: Cross multiply
    152,362.31x = 328,138.50 × 328,138.50
  4. Step 4: Simplify right side
    152,362.31x = 107,674,875,182.25
  5. Step 5: Solve for x
    x = 107,674,875,182.25/152,362.31
  6. Step 6: Final answer
    x = 706,702.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.