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Finding the Third Proportional to 229,036.36 and 356,643

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Solution

The third proportional to 229,036.36 and 356,643 is: 555,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,036.36 : 356,643 = 356,643 : x
  2. Step 2: Convert to fraction form
    229,036.36/356,643 = 356,643/x
  3. Step 3: Cross multiply
    229,036.36x = 356,643 × 356,643
  4. Step 4: Simplify right side
    229,036.36x = 127,194,229,449
  5. Step 5: Solve for x
    x = 127,194,229,449/229,036.36
  6. Step 6: Final answer
    x = 555,345.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.