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Finding the Third Proportional to 116,548 and 249,714

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Solution

The third proportional to 116,548 and 249,714 is: 535,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,548 : 249,714 = 249,714 : x
  2. Step 2: Convert to fraction form
    116,548/249,714 = 249,714/x
  3. Step 3: Cross multiply
    116,548x = 249,714 × 249,714
  4. Step 4: Simplify right side
    116,548x = 62,357,081,796
  5. Step 5: Solve for x
    x = 62,357,081,796/116,548
  6. Step 6: Final answer
    x = 535,033.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.