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Finding the Third Proportional to 229,509 and 350,838

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Solution

The third proportional to 229,509 and 350,838 is: 536,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,509 : 350,838 = 350,838 : x
  2. Step 2: Convert to fraction form
    229,509/350,838 = 350,838/x
  3. Step 3: Cross multiply
    229,509x = 350,838 × 350,838
  4. Step 4: Simplify right side
    229,509x = 123,087,302,244
  5. Step 5: Solve for x
    x = 123,087,302,244/229,509
  6. Step 6: Final answer
    x = 536,307.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.