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Finding the Third Proportional to 162,152 and 348,280

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Solution

The third proportional to 162,152 and 348,280 is: 748,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,152 : 348,280 = 348,280 : x
  2. Step 2: Convert to fraction form
    162,152/348,280 = 348,280/x
  3. Step 3: Cross multiply
    162,152x = 348,280 × 348,280
  4. Step 4: Simplify right side
    162,152x = 121,298,958,400
  5. Step 5: Solve for x
    x = 121,298,958,400/162,152
  6. Step 6: Final answer
    x = 748,057.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.