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Finding the Third Proportional to 116,466.75 and 249,541.25

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Solution

The third proportional to 116,466.75 and 249,541.25 is: 534,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,466.75 : 249,541.25 = 249,541.25 : x
  2. Step 2: Convert to fraction form
    116,466.75/249,541.25 = 249,541.25/x
  3. Step 3: Cross multiply
    116,466.75x = 249,541.25 × 249,541.25
  4. Step 4: Simplify right side
    116,466.75x = 62,270,835,451.56
  5. Step 5: Solve for x
    x = 62,270,835,451.56/116,466.75
  6. Step 6: Final answer
    x = 534,666.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.