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Finding the Third Proportional to 116,670 and 249,864

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Solution

The third proportional to 116,670 and 249,864 is: 535,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,670 : 249,864 = 249,864 : x
  2. Step 2: Convert to fraction form
    116,670/249,864 = 249,864/x
  3. Step 3: Cross multiply
    116,670x = 249,864 × 249,864
  4. Step 4: Simplify right side
    116,670x = 62,432,018,496
  5. Step 5: Solve for x
    x = 62,432,018,496/116,670
  6. Step 6: Final answer
    x = 535,116.30

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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.