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Finding the Third Proportional to 94,705 and 210,430

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Solution

The third proportional to 94,705 and 210,430 is: 467,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,705 : 210,430 = 210,430 : x
  2. Step 2: Convert to fraction form
    94,705/210,430 = 210,430/x
  3. Step 3: Cross multiply
    94,705x = 210,430 × 210,430
  4. Step 4: Simplify right side
    94,705x = 44,280,784,900
  5. Step 5: Solve for x
    x = 44,280,784,900/94,705
  6. Step 6: Final answer
    x = 467,565.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.