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Finding the Third Proportional to 233,317.50 and 342,316.50

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Solution

The third proportional to 233,317.50 and 342,316.50 is: 502,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,317.50 : 342,316.50 = 342,316.50 : x
  2. Step 2: Convert to fraction form
    233,317.50/342,316.50 = 342,316.50/x
  3. Step 3: Cross multiply
    233,317.50x = 342,316.50 × 342,316.50
  4. Step 4: Simplify right side
    233,317.50x = 117,180,586,172.25
  5. Step 5: Solve for x
    x = 117,180,586,172.25/233,317.50
  6. Step 6: Final answer
    x = 502,236.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.