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Finding the Third Proportional to 116,408 and 249,808

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Solution

The third proportional to 116,408 and 249,808 is: 536,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,408 : 249,808 = 249,808 : x
  2. Step 2: Convert to fraction form
    116,408/249,808 = 249,808/x
  3. Step 3: Cross multiply
    116,408x = 249,808 × 249,808
  4. Step 4: Simplify right side
    116,408x = 62,404,036,864
  5. Step 5: Solve for x
    x = 62,404,036,864/116,408
  6. Step 6: Final answer
    x = 536,080.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.