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Finding the Third Proportional to 233,316 and 345,054

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Solution

The third proportional to 233,316 and 345,054 is: 510,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,316 : 345,054 = 345,054 : x
  2. Step 2: Convert to fraction form
    233,316/345,054 = 345,054/x
  3. Step 3: Cross multiply
    233,316x = 345,054 × 345,054
  4. Step 4: Simplify right side
    233,316x = 119,062,262,916
  5. Step 5: Solve for x
    x = 119,062,262,916/233,316
  6. Step 6: Final answer
    x = 510,304.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.