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Finding the Third Proportional to 249,886.50 and 356,139

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Solution

The third proportional to 249,886.50 and 356,139 is: 507,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,886.50 : 356,139 = 356,139 : x
  2. Step 2: Convert to fraction form
    249,886.50/356,139 = 356,139/x
  3. Step 3: Cross multiply
    249,886.50x = 356,139 × 356,139
  4. Step 4: Simplify right side
    249,886.50x = 126,834,987,321
  5. Step 5: Solve for x
    x = 126,834,987,321/249,886.50
  6. Step 6: Final answer
    x = 507,570.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.