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Finding the Third Proportional to 157,322 and 249,229

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Solution

The third proportional to 157,322 and 249,229 is: 394,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,322 : 249,229 = 249,229 : x
  2. Step 2: Convert to fraction form
    157,322/249,229 = 249,229/x
  3. Step 3: Cross multiply
    157,322x = 249,229 × 249,229
  4. Step 4: Simplify right side
    157,322x = 62,115,094,441
  5. Step 5: Solve for x
    x = 62,115,094,441/157,322
  6. Step 6: Final answer
    x = 394,827.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.