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Finding the Third Proportional to 113,886 and 249,221.75

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Solution

The third proportional to 113,886 and 249,221.75 is: 545,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886 : 249,221.75 = 249,221.75 : x
  2. Step 2: Convert to fraction form
    113,886/249,221.75 = 249,221.75/x
  3. Step 3: Cross multiply
    113,886x = 249,221.75 × 249,221.75
  4. Step 4: Simplify right side
    113,886x = 62,111,480,673.06
  5. Step 5: Solve for x
    x = 62,111,480,673.06/113,886
  6. Step 6: Final answer
    x = 545,382.93

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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.