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Finding the Third Proportional to 106,521.75 and 229,567.50

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Solution

The third proportional to 106,521.75 and 229,567.50 is: 494,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,521.75 : 229,567.50 = 229,567.50 : x
  2. Step 2: Convert to fraction form
    106,521.75/229,567.50 = 229,567.50/x
  3. Step 3: Cross multiply
    106,521.75x = 229,567.50 × 229,567.50
  4. Step 4: Simplify right side
    106,521.75x = 52,701,237,056.25
  5. Step 5: Solve for x
    x = 52,701,237,056.25/106,521.75
  6. Step 6: Final answer
    x = 494,746.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.