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Finding the Third Proportional to 249,215.48 and 376,796.18

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Solution

The third proportional to 249,215.48 and 376,796.18 is: 569,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,215.48 : 376,796.18 = 376,796.18 : x
  2. Step 2: Convert to fraction form
    249,215.48/376,796.18 = 376,796.18/x
  3. Step 3: Cross multiply
    249,215.48x = 376,796.18 × 376,796.18
  4. Step 4: Simplify right side
    249,215.48x = 141,975,361,027.10
  5. Step 5: Solve for x
    x = 141,975,361,027.10/249,215.48
  6. Step 6: Final answer
    x = 569,689.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.