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Finding the Third Proportional to 127,599 and 278,547

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Solution

The third proportional to 127,599 and 278,547 is: 608,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,599 : 278,547 = 278,547 : x
  2. Step 2: Convert to fraction form
    127,599/278,547 = 278,547/x
  3. Step 3: Cross multiply
    127,599x = 278,547 × 278,547
  4. Step 4: Simplify right side
    127,599x = 77,588,431,209
  5. Step 5: Solve for x
    x = 77,588,431,209/127,599
  6. Step 6: Final answer
    x = 608,064.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.