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Finding the Third Proportional to 172,308 and 365,070

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Solution

The third proportional to 172,308 and 365,070 is: 773,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,308 : 365,070 = 365,070 : x
  2. Step 2: Convert to fraction form
    172,308/365,070 = 365,070/x
  3. Step 3: Cross multiply
    172,308x = 365,070 × 365,070
  4. Step 4: Simplify right side
    172,308x = 133,276,104,900
  5. Step 5: Solve for x
    x = 133,276,104,900/172,308
  6. Step 6: Final answer
    x = 773,476.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.