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Finding the Third Proportional to 183,807 and 249,457.50

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Solution

The third proportional to 183,807 and 249,457.50 is: 338,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,807 : 249,457.50 = 249,457.50 : x
  2. Step 2: Convert to fraction form
    183,807/249,457.50 = 249,457.50/x
  3. Step 3: Cross multiply
    183,807x = 249,457.50 × 249,457.50
  4. Step 4: Simplify right side
    183,807x = 62,229,044,306.25
  5. Step 5: Solve for x
    x = 62,229,044,306.25/183,807
  6. Step 6: Final answer
    x = 338,556.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.