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Finding the Third Proportional to 185,840 and 249,708

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Solution

The third proportional to 185,840 and 249,708 is: 335,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,840 : 249,708 = 249,708 : x
  2. Step 2: Convert to fraction form
    185,840/249,708 = 249,708/x
  3. Step 3: Cross multiply
    185,840x = 249,708 × 249,708
  4. Step 4: Simplify right side
    185,840x = 62,354,085,264
  5. Step 5: Solve for x
    x = 62,354,085,264/185,840
  6. Step 6: Final answer
    x = 335,525.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.