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Finding the Third Proportional to 164,370 and 354,444

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Solution

The third proportional to 164,370 and 354,444 is: 764,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,370 : 354,444 = 354,444 : x
  2. Step 2: Convert to fraction form
    164,370/354,444 = 354,444/x
  3. Step 3: Cross multiply
    164,370x = 354,444 × 354,444
  4. Step 4: Simplify right side
    164,370x = 125,630,549,136
  5. Step 5: Solve for x
    x = 125,630,549,136/164,370
  6. Step 6: Final answer
    x = 764,315.56

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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.