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Finding the Third Proportional to 114,628 and 249,019

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Solution

The third proportional to 114,628 and 249,019 is: 540,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,628 : 249,019 = 249,019 : x
  2. Step 2: Convert to fraction form
    114,628/249,019 = 249,019/x
  3. Step 3: Cross multiply
    114,628x = 249,019 × 249,019
  4. Step 4: Simplify right side
    114,628x = 62,010,462,361
  5. Step 5: Solve for x
    x = 62,010,462,361/114,628
  6. Step 6: Final answer
    x = 540,971.34

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Why These Related Problems?

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