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Finding the Third Proportional to 187,164 and 357,066

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Solution

The third proportional to 187,164 and 357,066 is: 681,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,164 : 357,066 = 357,066 : x
  2. Step 2: Convert to fraction form
    187,164/357,066 = 357,066/x
  3. Step 3: Cross multiply
    187,164x = 357,066 × 357,066
  4. Step 4: Simplify right side
    187,164x = 127,496,128,356
  5. Step 5: Solve for x
    x = 127,496,128,356/187,164
  6. Step 6: Final answer
    x = 681,200.06

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.