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Finding the Third Proportional to 160,254 and 249,121

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Solution

The third proportional to 160,254 and 249,121 is: 387,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,254 : 249,121 = 249,121 : x
  2. Step 2: Convert to fraction form
    160,254/249,121 = 249,121/x
  3. Step 3: Cross multiply
    160,254x = 249,121 × 249,121
  4. Step 4: Simplify right side
    160,254x = 62,061,272,641
  5. Step 5: Solve for x
    x = 62,061,272,641/160,254
  6. Step 6: Final answer
    x = 387,268.17

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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.