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Finding the Third Proportional to 162,408.38 and 249,952.50

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Solution

The third proportional to 162,408.38 and 249,952.50 is: 384,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,408.38 : 249,952.50 = 249,952.50 : x
  2. Step 2: Convert to fraction form
    162,408.38/249,952.50 = 249,952.50/x
  3. Step 3: Cross multiply
    162,408.38x = 249,952.50 × 249,952.50
  4. Step 4: Simplify right side
    162,408.38x = 62,476,252,256.25
  5. Step 5: Solve for x
    x = 62,476,252,256.25/162,408.38
  6. Step 6: Final answer
    x = 384,686.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.