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Finding the Third Proportional to 113,883.75 and 249,218.50

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Solution

The third proportional to 113,883.75 and 249,218.50 is: 545,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,883.75 : 249,218.50 = 249,218.50 : x
  2. Step 2: Convert to fraction form
    113,883.75/249,218.50 = 249,218.50/x
  3. Step 3: Cross multiply
    113,883.75x = 249,218.50 × 249,218.50
  4. Step 4: Simplify right side
    113,883.75x = 62,109,860,742.25
  5. Step 5: Solve for x
    x = 62,109,860,742.25/113,883.75
  6. Step 6: Final answer
    x = 545,379.48

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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.