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Finding the Third Proportional to 164,570 and 354,724

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Solution

The third proportional to 164,570 and 354,724 is: 764,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,570 : 354,724 = 354,724 : x
  2. Step 2: Convert to fraction form
    164,570/354,724 = 354,724/x
  3. Step 3: Cross multiply
    164,570x = 354,724 × 354,724
  4. Step 4: Simplify right side
    164,570x = 125,829,116,176
  5. Step 5: Solve for x
    x = 125,829,116,176/164,570
  6. Step 6: Final answer
    x = 764,593.28

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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.