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Finding the Third Proportional to 117,335 and 249,213

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Solution

The third proportional to 117,335 and 249,213 is: 529,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,335 : 249,213 = 249,213 : x
  2. Step 2: Convert to fraction form
    117,335/249,213 = 249,213/x
  3. Step 3: Cross multiply
    117,335x = 249,213 × 249,213
  4. Step 4: Simplify right side
    117,335x = 62,107,119,369
  5. Step 5: Solve for x
    x = 62,107,119,369/117,335
  6. Step 6: Final answer
    x = 529,314.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.