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Finding the Third Proportional to 157,054 and 345,210

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Solution

The third proportional to 157,054 and 345,210 is: 758,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,054 : 345,210 = 345,210 : x
  2. Step 2: Convert to fraction form
    157,054/345,210 = 345,210/x
  3. Step 3: Cross multiply
    157,054x = 345,210 × 345,210
  4. Step 4: Simplify right side
    157,054x = 119,169,944,100
  5. Step 5: Solve for x
    x = 119,169,944,100/157,054
  6. Step 6: Final answer
    x = 758,783.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.