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Finding the Third Proportional to 162,254 and 354,388

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Solution

The third proportional to 162,254 and 354,388 is: 774,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,254 : 354,388 = 354,388 : x
  2. Step 2: Convert to fraction form
    162,254/354,388 = 354,388/x
  3. Step 3: Cross multiply
    162,254x = 354,388 × 354,388
  4. Step 4: Simplify right side
    162,254x = 125,590,854,544
  5. Step 5: Solve for x
    x = 125,590,854,544/162,254
  6. Step 6: Final answer
    x = 774,038.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.