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Finding the Third Proportional to 115,408 and 249,232

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Solution

The third proportional to 115,408 and 249,232 is: 538,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,408 : 249,232 = 249,232 : x
  2. Step 2: Convert to fraction form
    115,408/249,232 = 249,232/x
  3. Step 3: Cross multiply
    115,408x = 249,232 × 249,232
  4. Step 4: Simplify right side
    115,408x = 62,116,589,824
  5. Step 5: Solve for x
    x = 62,116,589,824/115,408
  6. Step 6: Final answer
    x = 538,234.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.