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Finding the Third Proportional to 233,207 and 360,117

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Solution

The third proportional to 233,207 and 360,117 is: 556,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,207 : 360,117 = 360,117 : x
  2. Step 2: Convert to fraction form
    233,207/360,117 = 360,117/x
  3. Step 3: Cross multiply
    233,207x = 360,117 × 360,117
  4. Step 4: Simplify right side
    233,207x = 129,684,253,689
  5. Step 5: Solve for x
    x = 129,684,253,689/233,207
  6. Step 6: Final answer
    x = 556,090.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.