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Finding the Third Proportional to 121,461.47 and 266,835.94

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Solution

The third proportional to 121,461.47 and 266,835.94 is: 586,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,461.47 : 266,835.94 = 266,835.94 : x
  2. Step 2: Convert to fraction form
    121,461.47/266,835.94 = 266,835.94/x
  3. Step 3: Cross multiply
    121,461.47x = 266,835.94 × 266,835.94
  4. Step 4: Simplify right side
    121,461.47x = 71,201,417,541.50
  5. Step 5: Solve for x
    x = 71,201,417,541.50/121,461.47
  6. Step 6: Final answer
    x = 586,205.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.