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Finding the Third Proportional to 214,341 and 470,154

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Solution

The third proportional to 214,341 and 470,154 is: 1,031,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,341 : 470,154 = 470,154 : x
  2. Step 2: Convert to fraction form
    214,341/470,154 = 470,154/x
  3. Step 3: Cross multiply
    214,341x = 470,154 × 470,154
  4. Step 4: Simplify right side
    214,341x = 221,044,783,716
  5. Step 5: Solve for x
    x = 221,044,783,716/214,341
  6. Step 6: Final answer
    x = 1,031,276.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.