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Finding the Third Proportional to 165,934.50 and 390,047.25

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Solution

The third proportional to 165,934.50 and 390,047.25 is: 916,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,934.50 : 390,047.25 = 390,047.25 : x
  2. Step 2: Convert to fraction form
    165,934.50/390,047.25 = 390,047.25/x
  3. Step 3: Cross multiply
    165,934.50x = 390,047.25 × 390,047.25
  4. Step 4: Simplify right side
    165,934.50x = 152,136,857,232.56
  5. Step 5: Solve for x
    x = 152,136,857,232.56/165,934.50
  6. Step 6: Final answer
    x = 916,848.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.