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Finding the Third Proportional to 216,169 and 345,332

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Solution

The third proportional to 216,169 and 345,332 is: 551,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,169 : 345,332 = 345,332 : x
  2. Step 2: Convert to fraction form
    216,169/345,332 = 345,332/x
  3. Step 3: Cross multiply
    216,169x = 345,332 × 345,332
  4. Step 4: Simplify right side
    216,169x = 119,254,190,224
  5. Step 5: Solve for x
    x = 119,254,190,224/216,169
  6. Step 6: Final answer
    x = 551,671.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.