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Finding the Third Proportional to 186,048 and 297,024

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Solution

The third proportional to 186,048 and 297,024 is: 474,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,048 : 297,024 = 297,024 : x
  2. Step 2: Convert to fraction form
    186,048/297,024 = 297,024/x
  3. Step 3: Cross multiply
    186,048x = 297,024 × 297,024
  4. Step 4: Simplify right side
    186,048x = 88,223,256,576
  5. Step 5: Solve for x
    x = 88,223,256,576/186,048
  6. Step 6: Final answer
    x = 474,196.21

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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.