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Finding the Third Proportional to 160,243 and 249,105

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Solution

The third proportional to 160,243 and 249,105 is: 387,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,243 : 249,105 = 249,105 : x
  2. Step 2: Convert to fraction form
    160,243/249,105 = 249,105/x
  3. Step 3: Cross multiply
    160,243x = 249,105 × 249,105
  4. Step 4: Simplify right side
    160,243x = 62,053,301,025
  5. Step 5: Solve for x
    x = 62,053,301,025/160,243
  6. Step 6: Final answer
    x = 387,245.00

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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.