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Finding the Third Proportional to 221,673.88 and 343,946.63

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Solution

The third proportional to 221,673.88 and 343,946.63 is: 533,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,673.88 : 343,946.63 = 343,946.63 : x
  2. Step 2: Convert to fraction form
    221,673.88/343,946.63 = 343,946.63/x
  3. Step 3: Cross multiply
    221,673.88x = 343,946.63 × 343,946.63
  4. Step 4: Simplify right side
    221,673.88x = 118,299,280,848.89
  5. Step 5: Solve for x
    x = 118,299,280,848.89/221,673.88
  6. Step 6: Final answer
    x = 533,663.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.