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Finding the Third Proportional to 140,316.75 and 249,464.25

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Solution

The third proportional to 140,316.75 and 249,464.25 is: 443,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,316.75 : 249,464.25 = 249,464.25 : x
  2. Step 2: Convert to fraction form
    140,316.75/249,464.25 = 249,464.25/x
  3. Step 3: Cross multiply
    140,316.75x = 249,464.25 × 249,464.25
  4. Step 4: Simplify right side
    140,316.75x = 62,232,412,028.06
  5. Step 5: Solve for x
    x = 62,232,412,028.06/140,316.75
  6. Step 6: Final answer
    x = 443,513.78

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.