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Finding the Third Proportional to 162,776 and 380,300

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Solution

The third proportional to 162,776 and 380,300 is: 888,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,776 : 380,300 = 380,300 : x
  2. Step 2: Convert to fraction form
    162,776/380,300 = 380,300/x
  3. Step 3: Cross multiply
    162,776x = 380,300 × 380,300
  4. Step 4: Simplify right side
    162,776x = 144,628,090,000
  5. Step 5: Solve for x
    x = 144,628,090,000/162,776
  6. Step 6: Final answer
    x = 888,509.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.