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Finding the Third Proportional to 112,358.81 and 240,710.06

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Solution

The third proportional to 112,358.81 and 240,710.06 is: 515,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,358.81 : 240,710.06 = 240,710.06 : x
  2. Step 2: Convert to fraction form
    112,358.81/240,710.06 = 240,710.06/x
  3. Step 3: Cross multiply
    112,358.81x = 240,710.06 × 240,710.06
  4. Step 4: Simplify right side
    112,358.81x = 57,941,334,188.75
  5. Step 5: Solve for x
    x = 57,941,334,188.75/112,358.81
  6. Step 6: Final answer
    x = 515,681.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.