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Finding the Third Proportional to 113,834.50 and 249,813

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Solution

The third proportional to 113,834.50 and 249,813 is: 548,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,834.50 : 249,813 = 249,813 : x
  2. Step 2: Convert to fraction form
    113,834.50/249,813 = 249,813/x
  3. Step 3: Cross multiply
    113,834.50x = 249,813 × 249,813
  4. Step 4: Simplify right side
    113,834.50x = 62,406,534,969
  5. Step 5: Solve for x
    x = 62,406,534,969/113,834.50
  6. Step 6: Final answer
    x = 548,221.63

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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.