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Finding the Third Proportional to 186,051 and 297,029

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Solution

The third proportional to 186,051 and 297,029 is: 474,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,051 : 297,029 = 297,029 : x
  2. Step 2: Convert to fraction form
    186,051/297,029 = 297,029/x
  3. Step 3: Cross multiply
    186,051x = 297,029 × 297,029
  4. Step 4: Simplify right side
    186,051x = 88,226,226,841
  5. Step 5: Solve for x
    x = 88,226,226,841/186,051
  6. Step 6: Final answer
    x = 474,204.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.