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Finding the Third Proportional to 164,403 and 357,000

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Solution

The third proportional to 164,403 and 357,000 is: 775,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,403 : 357,000 = 357,000 : x
  2. Step 2: Convert to fraction form
    164,403/357,000 = 357,000/x
  3. Step 3: Cross multiply
    164,403x = 357,000 × 357,000
  4. Step 4: Simplify right side
    164,403x = 127,449,000,000
  5. Step 5: Solve for x
    x = 127,449,000,000/164,403
  6. Step 6: Final answer
    x = 775,223.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.