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Finding the Third Proportional to 160,462 and 249,465

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Solution

The third proportional to 160,462 and 249,465 is: 387,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,462 : 249,465 = 249,465 : x
  2. Step 2: Convert to fraction form
    160,462/249,465 = 249,465/x
  3. Step 3: Cross multiply
    160,462x = 249,465 × 249,465
  4. Step 4: Simplify right side
    160,462x = 62,232,786,225
  5. Step 5: Solve for x
    x = 62,232,786,225/160,462
  6. Step 6: Final answer
    x = 387,835.04

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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.