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Finding the Third Proportional to 160,346 and 249,249

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Solution

The third proportional to 160,346 and 249,249 is: 387,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,346 : 249,249 = 249,249 : x
  2. Step 2: Convert to fraction form
    160,346/249,249 = 249,249/x
  3. Step 3: Cross multiply
    160,346x = 249,249 × 249,249
  4. Step 4: Simplify right side
    160,346x = 62,125,064,001
  5. Step 5: Solve for x
    x = 62,125,064,001/160,346
  6. Step 6: Final answer
    x = 387,443.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.