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Finding the Third Proportional to 154,854.50 and 328,316.50

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Solution

The third proportional to 154,854.50 and 328,316.50 is: 696,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,854.50 : 328,316.50 = 328,316.50 : x
  2. Step 2: Convert to fraction form
    154,854.50/328,316.50 = 328,316.50/x
  3. Step 3: Cross multiply
    154,854.50x = 328,316.50 × 328,316.50
  4. Step 4: Simplify right side
    154,854.50x = 107,791,724,172.25
  5. Step 5: Solve for x
    x = 107,791,724,172.25/154,854.50
  6. Step 6: Final answer
    x = 696,083.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.