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Finding the Third Proportional to 194,842 and 260,547

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Solution

The third proportional to 194,842 and 260,547 is: 348,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,842 : 260,547 = 260,547 : x
  2. Step 2: Convert to fraction form
    194,842/260,547 = 260,547/x
  3. Step 3: Cross multiply
    194,842x = 260,547 × 260,547
  4. Step 4: Simplify right side
    194,842x = 67,884,739,209
  5. Step 5: Solve for x
    x = 67,884,739,209/194,842
  6. Step 6: Final answer
    x = 348,409.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.