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Finding the Third Proportional to 162,289.50 and 350,499

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Solution

The third proportional to 162,289.50 and 350,499 is: 756,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,289.50 : 350,499 = 350,499 : x
  2. Step 2: Convert to fraction form
    162,289.50/350,499 = 350,499/x
  3. Step 3: Cross multiply
    162,289.50x = 350,499 × 350,499
  4. Step 4: Simplify right side
    162,289.50x = 122,849,549,001
  5. Step 5: Solve for x
    x = 122,849,549,001/162,289.50
  6. Step 6: Final answer
    x = 756,977.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.