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Finding the Third Proportional to 170,547.19 and 261,019.13

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Solution

The third proportional to 170,547.19 and 261,019.13 is: 399,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,547.19 : 261,019.13 = 261,019.13 : x
  2. Step 2: Convert to fraction form
    170,547.19/261,019.13 = 261,019.13/x
  3. Step 3: Cross multiply
    170,547.19x = 261,019.13 × 261,019.13
  4. Step 4: Simplify right side
    170,547.19x = 68,130,983,615.77
  5. Step 5: Solve for x
    x = 68,130,983,615.77/170,547.19
  6. Step 6: Final answer
    x = 399,484.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.