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Finding the Third Proportional to 164,594 and 354,820

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Solution

The third proportional to 164,594 and 354,820 is: 764,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,594 : 354,820 = 354,820 : x
  2. Step 2: Convert to fraction form
    164,594/354,820 = 354,820/x
  3. Step 3: Cross multiply
    164,594x = 354,820 × 354,820
  4. Step 4: Simplify right side
    164,594x = 125,897,232,400
  5. Step 5: Solve for x
    x = 125,897,232,400/164,594
  6. Step 6: Final answer
    x = 764,895.64

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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.