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Finding the Third Proportional to 162,838.31 and 353,528.25

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Solution

The third proportional to 162,838.31 and 353,528.25 is: 767,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,838.31 : 353,528.25 = 353,528.25 : x
  2. Step 2: Convert to fraction form
    162,838.31/353,528.25 = 353,528.25/x
  3. Step 3: Cross multiply
    162,838.31x = 353,528.25 × 353,528.25
  4. Step 4: Simplify right side
    162,838.31x = 124,982,223,548.06
  5. Step 5: Solve for x
    x = 124,982,223,548.06/162,838.31
  6. Step 6: Final answer
    x = 767,523.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.