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Finding the Third Proportional to 173,476 and 260,262

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Solution

The third proportional to 173,476 and 260,262 is: 390,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,476 : 260,262 = 260,262 : x
  2. Step 2: Convert to fraction form
    173,476/260,262 = 260,262/x
  3. Step 3: Cross multiply
    173,476x = 260,262 × 260,262
  4. Step 4: Simplify right side
    173,476x = 67,736,308,644
  5. Step 5: Solve for x
    x = 67,736,308,644/173,476
  6. Step 6: Final answer
    x = 390,465.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.