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Finding the Third Proportional to 154,411 and 233,272

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Solution

The third proportional to 154,411 and 233,272 is: 352,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,411 : 233,272 = 233,272 : x
  2. Step 2: Convert to fraction form
    154,411/233,272 = 233,272/x
  3. Step 3: Cross multiply
    154,411x = 233,272 × 233,272
  4. Step 4: Simplify right side
    154,411x = 54,415,825,984
  5. Step 5: Solve for x
    x = 54,415,825,984/154,411
  6. Step 6: Final answer
    x = 352,409.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.