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Finding the Third Proportional to 117,724 and 257,316

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Solution

The third proportional to 117,724 and 257,316 is: 562,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,724 : 257,316 = 257,316 : x
  2. Step 2: Convert to fraction form
    117,724/257,316 = 257,316/x
  3. Step 3: Cross multiply
    117,724x = 257,316 × 257,316
  4. Step 4: Simplify right side
    117,724x = 66,211,523,856
  5. Step 5: Solve for x
    x = 66,211,523,856/117,724
  6. Step 6: Final answer
    x = 562,430.12

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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.