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Finding the Third Proportional to 88,604 and 194,430

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Solution

The third proportional to 88,604 and 194,430 is: 426,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,604 : 194,430 = 194,430 : x
  2. Step 2: Convert to fraction form
    88,604/194,430 = 194,430/x
  3. Step 3: Cross multiply
    88,604x = 194,430 × 194,430
  4. Step 4: Simplify right side
    88,604x = 37,803,024,900
  5. Step 5: Solve for x
    x = 37,803,024,900/88,604
  6. Step 6: Final answer
    x = 426,651.45

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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.