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Finding the Third Proportional to 114,509 and 249,430

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Solution

The third proportional to 114,509 and 249,430 is: 543,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,509 : 249,430 = 249,430 : x
  2. Step 2: Convert to fraction form
    114,509/249,430 = 249,430/x
  3. Step 3: Cross multiply
    114,509x = 249,430 × 249,430
  4. Step 4: Simplify right side
    114,509x = 62,215,324,900
  5. Step 5: Solve for x
    x = 62,215,324,900/114,509
  6. Step 6: Final answer
    x = 543,322.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.