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Finding the Third Proportional to 233,388 and 342,657

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Solution

The third proportional to 233,388 and 342,657 is: 503,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,388 : 342,657 = 342,657 : x
  2. Step 2: Convert to fraction form
    233,388/342,657 = 342,657/x
  3. Step 3: Cross multiply
    233,388x = 342,657 × 342,657
  4. Step 4: Simplify right side
    233,388x = 117,413,819,649
  5. Step 5: Solve for x
    x = 117,413,819,649/233,388
  6. Step 6: Final answer
    x = 503,084.22

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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.