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Finding the Third Proportional to 233,313.75 and 342,315

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Solution

The third proportional to 233,313.75 and 342,315 is: 502,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 342,315 = 342,315 : x
  2. Step 2: Convert to fraction form
    233,313.75/342,315 = 342,315/x
  3. Step 3: Cross multiply
    233,313.75x = 342,315 × 342,315
  4. Step 4: Simplify right side
    233,313.75x = 117,179,559,225
  5. Step 5: Solve for x
    x = 117,179,559,225/233,313.75
  6. Step 6: Final answer
    x = 502,240.26

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Why These Related Problems?

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