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Finding the Third Proportional to 249,734 and 373,125

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Solution

The third proportional to 249,734 and 373,125 is: 557,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,734 : 373,125 = 373,125 : x
  2. Step 2: Convert to fraction form
    249,734/373,125 = 373,125/x
  3. Step 3: Cross multiply
    249,734x = 373,125 × 373,125
  4. Step 4: Simplify right side
    249,734x = 139,222,265,625
  5. Step 5: Solve for x
    x = 139,222,265,625/249,734
  6. Step 6: Final answer
    x = 557,482.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.