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Finding the Third Proportional to 162,852.75 and 349,065

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Solution

The third proportional to 162,852.75 and 349,065 is: 748,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,852.75 : 349,065 = 349,065 : x
  2. Step 2: Convert to fraction form
    162,852.75/349,065 = 349,065/x
  3. Step 3: Cross multiply
    162,852.75x = 349,065 × 349,065
  4. Step 4: Simplify right side
    162,852.75x = 121,846,374,225
  5. Step 5: Solve for x
    x = 121,846,374,225/162,852.75
  6. Step 6: Final answer
    x = 748,199.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.