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Finding the Third Proportional to 249,550 and 349,250

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Solution

The third proportional to 249,550 and 349,250 is: 488,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,550 : 349,250 = 349,250 : x
  2. Step 2: Convert to fraction form
    249,550/349,250 = 349,250/x
  3. Step 3: Cross multiply
    249,550x = 349,250 × 349,250
  4. Step 4: Simplify right side
    249,550x = 121,975,562,500
  5. Step 5: Solve for x
    x = 121,975,562,500/249,550
  6. Step 6: Final answer
    x = 488,782.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.