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Finding the Third Proportional to 221,594.63 and 364,060.13

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Solution

The third proportional to 221,594.63 and 364,060.13 is: 598,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,594.63 : 364,060.13 = 364,060.13 : x
  2. Step 2: Convert to fraction form
    221,594.63/364,060.13 = 364,060.13/x
  3. Step 3: Cross multiply
    221,594.63x = 364,060.13 × 364,060.13
  4. Step 4: Simplify right side
    221,594.63x = 132,539,774,615.02
  5. Step 5: Solve for x
    x = 132,539,774,615.02/221,594.63
  6. Step 6: Final answer
    x = 598,118.18

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.