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Finding the Third Proportional to 164,210 and 354,060

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Solution

The third proportional to 164,210 and 354,060 is: 763,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,210 : 354,060 = 354,060 : x
  2. Step 2: Convert to fraction form
    164,210/354,060 = 354,060/x
  3. Step 3: Cross multiply
    164,210x = 354,060 × 354,060
  4. Step 4: Simplify right side
    164,210x = 125,358,483,600
  5. Step 5: Solve for x
    x = 125,358,483,600/164,210
  6. Step 6: Final answer
    x = 763,403.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.