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Finding the Third Proportional to 249,948 and 357,173

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Solution

The third proportional to 249,948 and 357,173 is: 510,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,948 : 357,173 = 357,173 : x
  2. Step 2: Convert to fraction form
    249,948/357,173 = 357,173/x
  3. Step 3: Cross multiply
    249,948x = 357,173 × 357,173
  4. Step 4: Simplify right side
    249,948x = 127,572,551,929
  5. Step 5: Solve for x
    x = 127,572,551,929/249,948
  6. Step 6: Final answer
    x = 510,396.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.