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Finding the Third Proportional to 112,438.13 and 241,547.06

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Solution

The third proportional to 112,438.13 and 241,547.06 is: 518,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,438.13 : 241,547.06 = 241,547.06 : x
  2. Step 2: Convert to fraction form
    112,438.13/241,547.06 = 241,547.06/x
  3. Step 3: Cross multiply
    112,438.13x = 241,547.06 × 241,547.06
  4. Step 4: Simplify right side
    112,438.13x = 58,344,983,402.38
  5. Step 5: Solve for x
    x = 58,344,983,402.38/112,438.13
  6. Step 6: Final answer
    x = 518,907.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.