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Finding the Third Proportional to 116,569.13 and 241,430.63

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Solution

The third proportional to 116,569.13 and 241,430.63 is: 500,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569.13 : 241,430.63 = 241,430.63 : x
  2. Step 2: Convert to fraction form
    116,569.13/241,430.63 = 241,430.63/x
  3. Step 3: Cross multiply
    116,569.13x = 241,430.63 × 241,430.63
  4. Step 4: Simplify right side
    116,569.13x = 58,288,746,687.89
  5. Step 5: Solve for x
    x = 58,288,746,687.89/116,569.13
  6. Step 6: Final answer
    x = 500,035.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.