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Finding the Third Proportional to 117,510.38 and 257,547.75

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Solution

The third proportional to 117,510.38 and 257,547.75 is: 564,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,510.38 : 257,547.75 = 257,547.75 : x
  2. Step 2: Convert to fraction form
    117,510.38/257,547.75 = 257,547.75/x
  3. Step 3: Cross multiply
    117,510.38x = 257,547.75 × 257,547.75
  4. Step 4: Simplify right side
    117,510.38x = 66,330,843,530.06
  5. Step 5: Solve for x
    x = 66,330,843,530.06/117,510.38
  6. Step 6: Final answer
    x = 564,467.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.