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Finding the Third Proportional to 116,582.63 and 241,454.25

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Solution

The third proportional to 116,582.63 and 241,454.25 is: 500,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,582.63 : 241,454.25 = 241,454.25 : x
  2. Step 2: Convert to fraction form
    116,582.63/241,454.25 = 241,454.25/x
  3. Step 3: Cross multiply
    116,582.63x = 241,454.25 × 241,454.25
  4. Step 4: Simplify right side
    116,582.63x = 58,300,154,843.06
  5. Step 5: Solve for x
    x = 58,300,154,843.06/116,582.63
  6. Step 6: Final answer
    x = 500,075.85

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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.