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Finding the Third Proportional to 149,316.50 and 322,386

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Solution

The third proportional to 149,316.50 and 322,386 is: 696,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,316.50 : 322,386 = 322,386 : x
  2. Step 2: Convert to fraction form
    149,316.50/322,386 = 322,386/x
  3. Step 3: Cross multiply
    149,316.50x = 322,386 × 322,386
  4. Step 4: Simplify right side
    149,316.50x = 103,932,732,996
  5. Step 5: Solve for x
    x = 103,932,732,996/149,316.50
  6. Step 6: Final answer
    x = 696,056.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.