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Finding the Third Proportional to 233,407 and 265,483

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Solution

The third proportional to 233,407 and 265,483 is: 301,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,407 : 265,483 = 265,483 : x
  2. Step 2: Convert to fraction form
    233,407/265,483 = 265,483/x
  3. Step 3: Cross multiply
    233,407x = 265,483 × 265,483
  4. Step 4: Simplify right side
    233,407x = 70,481,223,289
  5. Step 5: Solve for x
    x = 70,481,223,289/233,407
  6. Step 6: Final answer
    x = 301,967.05

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.