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Finding the Third Proportional to 116,477.68 and 249,548.66

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Solution

The third proportional to 116,477.68 and 249,548.66 is: 534,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,477.68 : 249,548.66 = 249,548.66 : x
  2. Step 2: Convert to fraction form
    116,477.68/249,548.66 = 249,548.66/x
  3. Step 3: Cross multiply
    116,477.68x = 249,548.66 × 249,548.66
  4. Step 4: Simplify right side
    116,477.68x = 62,274,533,785.78
  5. Step 5: Solve for x
    x = 62,274,533,785.78/116,477.68
  6. Step 6: Final answer
    x = 534,647.77

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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.