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Finding the Third Proportional to 221,746.50 and 344,046

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Solution

The third proportional to 221,746.50 and 344,046 is: 533,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,746.50 : 344,046 = 344,046 : x
  2. Step 2: Convert to fraction form
    221,746.50/344,046 = 344,046/x
  3. Step 3: Cross multiply
    221,746.50x = 344,046 × 344,046
  4. Step 4: Simplify right side
    221,746.50x = 118,367,650,116
  5. Step 5: Solve for x
    x = 118,367,650,116/221,746.50
  6. Step 6: Final answer
    x = 533,797.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.