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Finding the Third Proportional to 114,633 and 249,030

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Solution

The third proportional to 114,633 and 249,030 is: 540,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,633 : 249,030 = 249,030 : x
  2. Step 2: Convert to fraction form
    114,633/249,030 = 249,030/x
  3. Step 3: Cross multiply
    114,633x = 249,030 × 249,030
  4. Step 4: Simplify right side
    114,633x = 62,015,940,900
  5. Step 5: Solve for x
    x = 62,015,940,900/114,633
  6. Step 6: Final answer
    x = 540,995.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.