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Finding the Third Proportional to 164,445 and 355,118

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Solution

The third proportional to 164,445 and 355,118 is: 766,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,445 : 355,118 = 355,118 : x
  2. Step 2: Convert to fraction form
    164,445/355,118 = 355,118/x
  3. Step 3: Cross multiply
    164,445x = 355,118 × 355,118
  4. Step 4: Simplify right side
    164,445x = 126,108,793,924
  5. Step 5: Solve for x
    x = 126,108,793,924/164,445
  6. Step 6: Final answer
    x = 766,875.21

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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.