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Finding the Third Proportional to 110,858.63 and 243,176.77

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Solution

The third proportional to 110,858.63 and 243,176.77 is: 533,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,858.63 : 243,176.77 = 243,176.77 : x
  2. Step 2: Convert to fraction form
    110,858.63/243,176.77 = 243,176.77/x
  3. Step 3: Cross multiply
    110,858.63x = 243,176.77 × 243,176.77
  4. Step 4: Simplify right side
    110,858.63x = 59,134,939,339.84
  5. Step 5: Solve for x
    x = 59,134,939,339.84/110,858.63
  6. Step 6: Final answer
    x = 533,426.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.