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Finding the Third Proportional to 115,044 and 235,663

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Solution

The third proportional to 115,044 and 235,663 is: 482,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,044 : 235,663 = 235,663 : x
  2. Step 2: Convert to fraction form
    115,044/235,663 = 235,663/x
  3. Step 3: Cross multiply
    115,044x = 235,663 × 235,663
  4. Step 4: Simplify right side
    115,044x = 55,537,049,569
  5. Step 5: Solve for x
    x = 55,537,049,569/115,044
  6. Step 6: Final answer
    x = 482,746.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.