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Finding the Third Proportional to 107,254 and 249,361

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Solution

The third proportional to 107,254 and 249,361 is: 579,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,254 : 249,361 = 249,361 : x
  2. Step 2: Convert to fraction form
    107,254/249,361 = 249,361/x
  3. Step 3: Cross multiply
    107,254x = 249,361 × 249,361
  4. Step 4: Simplify right side
    107,254x = 62,180,908,321
  5. Step 5: Solve for x
    x = 62,180,908,321/107,254
  6. Step 6: Final answer
    x = 579,753.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.