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Finding the Third Proportional to 116,442.84 and 249,485.63

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Solution

The third proportional to 116,442.84 and 249,485.63 is: 534,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,442.84 : 249,485.63 = 249,485.63 : x
  2. Step 2: Convert to fraction form
    116,442.84/249,485.63 = 249,485.63/x
  3. Step 3: Cross multiply
    116,442.84x = 249,485.63 × 249,485.63
  4. Step 4: Simplify right side
    116,442.84x = 62,243,077,081.64
  5. Step 5: Solve for x
    x = 62,243,077,081.64/116,442.84
  6. Step 6: Final answer
    x = 534,537.59

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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.