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Finding the Third Proportional to 175,094 and 253,346

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Solution

The third proportional to 175,094 and 253,346 is: 366,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,094 : 253,346 = 253,346 : x
  2. Step 2: Convert to fraction form
    175,094/253,346 = 253,346/x
  3. Step 3: Cross multiply
    175,094x = 253,346 × 253,346
  4. Step 4: Simplify right side
    175,094x = 64,184,195,716
  5. Step 5: Solve for x
    x = 64,184,195,716/175,094
  6. Step 6: Final answer
    x = 366,569.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.