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Finding the Third Proportional to 113,927 and 249,333

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Solution

The third proportional to 113,927 and 249,333 is: 545,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,927 : 249,333 = 249,333 : x
  2. Step 2: Convert to fraction form
    113,927/249,333 = 249,333/x
  3. Step 3: Cross multiply
    113,927x = 249,333 × 249,333
  4. Step 4: Simplify right side
    113,927x = 62,166,944,889
  5. Step 5: Solve for x
    x = 62,166,944,889/113,927
  6. Step 6: Final answer
    x = 545,673.50

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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.