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Finding the Third Proportional to 117,384 and 249,312

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Solution

The third proportional to 117,384 and 249,312 is: 529,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,384 : 249,312 = 249,312 : x
  2. Step 2: Convert to fraction form
    117,384/249,312 = 249,312/x
  3. Step 3: Cross multiply
    117,384x = 249,312 × 249,312
  4. Step 4: Simplify right side
    117,384x = 62,156,473,344
  5. Step 5: Solve for x
    x = 62,156,473,344/117,384
  6. Step 6: Final answer
    x = 529,514.02

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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.