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Finding the Third Proportional to 249,339.94 and 486,218.53

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Solution

The third proportional to 249,339.94 and 486,218.53 is: 948,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,339.94 : 486,218.53 = 486,218.53 : x
  2. Step 2: Convert to fraction form
    249,339.94/486,218.53 = 486,218.53/x
  3. Step 3: Cross multiply
    249,339.94x = 486,218.53 × 486,218.53
  4. Step 4: Simplify right side
    249,339.94x = 236,408,460,130.91
  5. Step 5: Solve for x
    x = 236,408,460,130.91/249,339.94
  6. Step 6: Final answer
    x = 948,137.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.