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Finding the Third Proportional to 114,016 and 249,488

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Solution

The third proportional to 114,016 and 249,488 is: 545,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,016 : 249,488 = 249,488 : x
  2. Step 2: Convert to fraction form
    114,016/249,488 = 249,488/x
  3. Step 3: Cross multiply
    114,016x = 249,488 × 249,488
  4. Step 4: Simplify right side
    114,016x = 62,244,262,144
  5. Step 5: Solve for x
    x = 62,244,262,144/114,016
  6. Step 6: Final answer
    x = 545,925.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.