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Finding the Third Proportional to 210,069 and 314,370

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Solution

The third proportional to 210,069 and 314,370 is: 470,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,069 : 314,370 = 314,370 : x
  2. Step 2: Convert to fraction form
    210,069/314,370 = 314,370/x
  3. Step 3: Cross multiply
    210,069x = 314,370 × 314,370
  4. Step 4: Simplify right side
    210,069x = 98,828,496,900
  5. Step 5: Solve for x
    x = 98,828,496,900/210,069
  6. Step 6: Final answer
    x = 470,457.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.