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Finding the Third Proportional to 164,570 and 357,940

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Solution

The third proportional to 164,570 and 357,940 is: 778,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,570 : 357,940 = 357,940 : x
  2. Step 2: Convert to fraction form
    164,570/357,940 = 357,940/x
  3. Step 3: Cross multiply
    164,570x = 357,940 × 357,940
  4. Step 4: Simplify right side
    164,570x = 128,121,043,600
  5. Step 5: Solve for x
    x = 128,121,043,600/164,570
  6. Step 6: Final answer
    x = 778,520.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.