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Finding the Third Proportional to 186,829.03 and 297,423.56

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Solution

The third proportional to 186,829.03 and 297,423.56 is: 473,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,829.03 : 297,423.56 = 297,423.56 : x
  2. Step 2: Convert to fraction form
    186,829.03/297,423.56 = 297,423.56/x
  3. Step 3: Cross multiply
    186,829.03x = 297,423.56 × 297,423.56
  4. Step 4: Simplify right side
    186,829.03x = 88,460,775,530.19
  5. Step 5: Solve for x
    x = 88,460,775,530.19/186,829.03
  6. Step 6: Final answer
    x = 473,485.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.