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Finding the Third Proportional to 249,196.50 and 376,386.75

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Solution

The third proportional to 249,196.50 and 376,386.75 is: 568,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,196.50 : 376,386.75 = 376,386.75 : x
  2. Step 2: Convert to fraction form
    249,196.50/376,386.75 = 376,386.75/x
  3. Step 3: Cross multiply
    249,196.50x = 376,386.75 × 376,386.75
  4. Step 4: Simplify right side
    249,196.50x = 141,666,985,575.56
  5. Step 5: Solve for x
    x = 141,666,985,575.56/249,196.50
  6. Step 6: Final answer
    x = 568,495.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.